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Finding the Fourth Proportional to 439.26, 658.81 and 165.30

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Solution

The fourth proportional to 439.26, 658.81 and 165.30 is: 247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.26 : 658.81 = 165.30 : x
  2. Step 2: Convert to fraction form
    439.26/658.81 = 165.30/x
  3. Step 3: Cross multiply
    439.26x = 658.81 × 165.30
  4. Step 4: Simplify right side
    439.26x = 108,901.29
  5. Step 5: Solve for x
    x = 108,901.29/439.26
  6. Step 6: Final answer
    x = 247.92

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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.