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I've looked up the computer's IP address and added the 5 additional numbers.
Don't know if this has anything to do with the problem, but the computer I'm trying to connect to runs Windows 7 while I run Ubuntu.
I had a simmilar problem. You might want to go and have a look at my how-to-tutorial i've made regarding the "No route to host" error.
Maby it will help you
http://www.minecraftforum.net/topic/1890699-linux-lan-with-windows-xp-how-to/
Regards