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Finding the Fourth Proportional to 409.92, 614.56 and 166.32

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Solution

The fourth proportional to 409.92, 614.56 and 166.32 is: 249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.92 : 614.56 = 166.32 : x
  2. Step 2: Convert to fraction form
    409.92/614.56 = 166.32/x
  3. Step 3: Cross multiply
    409.92x = 614.56 × 166.32
  4. Step 4: Simplify right side
    409.92x = 102,213.62
  5. Step 5: Solve for x
    x = 102,213.62/409.92
  6. Step 6: Final answer
    x = 249.35

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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.