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Finding the Fourth Proportional to 409.72, 614.46 and 166.20

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Solution

The fourth proportional to 409.72, 614.46 and 166.20 is: 249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.72 : 614.46 = 166.20 : x
  2. Step 2: Convert to fraction form
    409.72/614.46 = 166.20/x
  3. Step 3: Cross multiply
    409.72x = 614.46 × 166.20
  4. Step 4: Simplify right side
    409.72x = 102,123.25
  5. Step 5: Solve for x
    x = 102,123.25/409.72
  6. Step 6: Final answer
    x = 249.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.