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.
[168.156, -87.537, 165.486, 82.827, -37.844, 168.728, -72.594, 161.785, 165.776, 198.381]