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Finding the Fourth Proportional to 439.14, 658.96 and 165.42

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Solution

The fourth proportional to 439.14, 658.96 and 165.42 is: 248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.14 : 658.96 = 165.42 : x
  2. Step 2: Convert to fraction form
    439.14/658.96 = 165.42/x
  3. Step 3: Cross multiply
    439.14x = 658.96 × 165.42
  4. Step 4: Simplify right side
    439.14x = 109,005.16
  5. Step 5: Solve for x
    x = 109,005.16/439.14
  6. Step 6: Final answer
    x = 248.22

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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.