Or you can go to Dmbledore's site, where he has video guides for every challenge, and unlike most video guides, these were done while playing on the 360 and not the PC:http://www.dmbledore.com/XBLA/PortalStillAlive/index.html
Credit obviously goes to Dmbledore himself.
Edit: it looks like the links on the page are now down. I've emailed Dmbledore to see if the videos will be going back online, or if they can be found elsewhere. Once I hear back, I'll update this solution accordingly.
edit: In the comments, Slider257 points to a better/easier solution to the final advanced chamber. I had put that video into this solution but it would appear it now has gone down.