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 Input: [112.058, 77.578, 242.343, -59.165, 15.974, 225.295]
Example Output: [ 0.182  0.126  0.395 -0.096  0.026  0.367]

Example Input: [-23.786, -9.362, 227.991, 136.217, 225.485, -8.362, 88.428, -62.551, 98.166]
Example Output: [-0.035 -0.014  0.339  0.203  0.335 -0.012  0.132 -0.093  0.146]

Example Input: [65.205, 155.231, 47.41, -25.39, 52.865, 115.369, 200.093, 143.205, 153.35, 71.07]
Example Output:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
[ 0.067  0.159  0.048 -0.026  0.054  0.118  0.205  0.146  0.157  0.073]

