I find it hard to believe those are your IP addresses as those are public, but if they are and you're correct then you're on the same subnet and should be able to http:// straight into the camera. Do you have a range of public IPs from your ISP? That would be very rare if you did, and you still shouldn't set your internal devices to public IPs.
I seriously doubt those are your actual IP addresses though, one of them may well be your public IP (the one your modem/router communicates out to the internet from), but your internal IP addresses of your machines and devices should start with 192, 10, or 172 (I think someone listed the exact range earlier in the thread). To see your public IP go to a site like whatismyip.com. That should be your modem/router's (i.e. public) IP. Then your modem/router assigns addresses via DHCP to your local network devices usually in the 192.168.1.x range by default. So in that case each of your devices would have a 192.168.1.x address and talks to the LAN side of the router (gateway IP usually would be 192.168.1.1 by default), then the router converts it to the public IP and talks out to wherever you are going on the internet. Packets come back to your public IP, then the router transforms them via NAT to the local IP (192.168.1.x, etc.) and routes it to the device that requested it.
So you need to do a couple of things. One, find out an internal IP address on your LAN/private side. With windows you can do a ipconfig that will show you. Then find an available IP on the same subnet (so in the most likely example it would be 192.168.1.x where x is not in use by another device), you will assign this (manually) to your camera. Third, you need to find the true address of your camera. If it's on a different subnet (which it will be by default) you'll need to change your computer/device's IP that you'll browse to the camera from to be in the same subnet so you can talk to it. Then you'll need to change the IP in the camera's network setup page to the available IP determined above. Then reset your computer/device's IP back to it's original.