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Finding the Fourth Proportional to 409.72, 614.92 and 166.24

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Solution

The fourth proportional to 409.72, 614.92 and 166.24 is: 249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.72 : 614.92 = 166.24 : x
  2. Step 2: Convert to fraction form
    409.72/614.92 = 166.24/x
  3. Step 3: Cross multiply
    409.72x = 614.92 × 166.24
  4. Step 4: Simplify right side
    409.72x = 102,224.30
  5. Step 5: Solve for x
    x = 102,224.30/409.72
  6. Step 6: Final answer
    x = 249.50

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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.