If you make the numbers into a ratio, it'll be easier to find the answer.
There are 68 blue squares for the 4 green squares in the quilt.
68:4, or 68/4
If we do the division of the ratio, 68/4, we end up with 17.
Now, we multiply that by the 11 green squares of the new quilt.
17x11=187
This shows that there will be 187 blue squares in the quilt with 11 green squares.