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.
[179.723, 29.464, 203.099, 113.991, -69.68, 239.693, 61.308, 0.141, 96.339, 247.162]