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.
Example: [1, 2, 3]
Example solution: [0.167, 0.333, 0.500]
Example explanation: The output list sums to 1.0 and has the same weight as the input 0.333 is twice as large as 0.167, .5 is 3 times as large as 0.167, and 0.5 is 1.5 times as large as 0.333. This is a good example.

Problem: [-9.845, 176.296, 218.582, -8.565, 193.251, -88.535, 234.737, 217.826, 195.603]

Solution: [-0.009  0.156  0.194 -0.008  0.171 -0.078  0.208  0.193  0.173]