
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The ratio of the number of male students to female students in a certain high school is $4:5$. Using a stratified random sampling method based on this ratio, 90 students are selected. If the average height of male students in the sample is $171cm$ and the average height of female students is $160.2cm$, then the estimated average height of high school students in this school is ______ (unit: $cm$).

Present the answer in LaTex format: \boxed{Your answer}
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