What do Don Taylor and Ron Mangus say? It's foam, and foam can be glued together. Why not seam a layer of 1/8" foam and then put a full layer of 1/8" foam over it to get the 1/4" you want? The first layer will still need to be scuffed, so do a very good job of scuffing. How wide is the foam you're using? It's much easier to buy it 72" wide, then you don't have to worry about any seams.
No one lives forever, the trick is creating something that will.