We have
1/4 in ---- too large
3/16 ---- too small
In decimal number
1/4 =0.25
3/16=0.1875
we need a drill in the middle of these two numbers
11/64=0.171875
3/32=0.09375
5/32=0.15625
7/32=0.21875
The only number that is between 0.25 and 0.1875 is 7/32