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Finding the Fourth Proportional to 409.72, 614.96 and 166.44

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Solution

The fourth proportional to 409.72, 614.96 and 166.44 is: 249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.72 : 614.96 = 166.44 : x
  2. Step 2: Convert to fraction form
    409.72/614.96 = 166.44/x
  3. Step 3: Cross multiply
    409.72x = 614.96 × 166.44
  4. Step 4: Simplify right side
    409.72x = 102,353.94
  5. Step 5: Solve for x
    x = 102,353.94/409.72
  6. Step 6: Final answer
    x = 249.81

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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.