0.342, 0.352, 0.332, 0.340, 0.3212, 0.3412, 0.35, 0.348 in least to greatest

0.3212, 0.332, 0.340, 0.3412, 0.342, 0.348, 0.35, 0.352

We have that

the first square has a side length of 22 inches> a1
the second square has a side length of 17.6 inches---> a2
the third square has a side length of 14.05 inches> a3

step 1
find the ratio
a2/a1> 17.6/22> 0.80
a3/a2> 14.05/17.6> 0.80

common ratio is 0.8, which means each successive term is 0.8 the preceding term
therefore
calculate
a4=a3*0.8> 14.05*0.8> 11.24 in
a5=a4*0.8> 11.24*0.8> 8.99 in
8.99 < 10
therefore 
the fifth term is the first square with side length less than 10 in 

the answer is
The fifth square