I can't seem to find the answer for this question; so far I've tried weighted averages and finding the closest equivalent z-score for the percentages, but I'm at a loss.

The heights of individuals in a mall are normally distributed. If 66% of the shoppers are shorter than 160 cm and 82% of the shoppers are shorter than 170 cm, determine the mean height of the shoppers. Round your answer to the nearest hundredth of a centimeter if necessary.