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Finding the Fourth Proportional to 410.08, 614.92 and 166.42

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Solution

The fourth proportional to 410.08, 614.92 and 166.42 is: 249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.08 : 614.92 = 166.42 : x
  2. Step 2: Convert to fraction form
    410.08/614.92 = 166.42/x
  3. Step 3: Cross multiply
    410.08x = 614.92 × 166.42
  4. Step 4: Simplify right side
    410.08x = 102,334.99
  5. Step 5: Solve for x
    x = 102,334.99/410.08
  6. Step 6: Final answer
    x = 249.55

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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.