To determine the maximum weight the fourth child can weigh while keeping the total weight within the limit, we can set up the inequality.
Let \( x \) be the weight of the fourth child. The total weight of the four children should not exceed 170 pounds. The equation can be formulated as follows:
\[ 120 + x \leq 170 \]
To isolate \( x \), we can subtract 120 from both sides:
\[ x \leq 170 - 120 \]
This simplifies to:
\[ x \leq 50 \]
Thus, the missing operation and symbol in the inequality representing the maximum weight of the fourth child is:
\[ \leq \]
So the complete inequality is:
\[ 120 + x \leq 170 \]
And the maximum weight of the fourth child can be 50 pounds or less.