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.
[151.544, -11.858, 77.382, 195.771, 152.047, 151.595, 232.606, -60.897, 201.195, 112.99]