In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.
[63.303, 92.94, 25.757, 104.619, 154.52, 222.927, 151.689, 163.652, 227.621, 240.534]