Finding the Fourth Proportional to 209.36, 288.93 and 122
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Solution
The fourth proportional to 209.36, 288.93 and 122 is: 168.37
Step by Step Solution
- Step 1: Write the proportion equation
209.36 : 288.93 = 122 : x - Step 2: Convert to fraction form
209.36/288.93 = 122/x - Step 3: Cross multiply
209.36x = 288.93 × 122 - Step 4: Simplify right side
209.36x = 35,249.46 - Step 5: Solve for x
x = 35,249.46/209.36 - Step 6: Final answer
x = 168.37
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.