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Finding the Fourth Proportional to 439.02, 658.56 and 165.12

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Solution

The fourth proportional to 439.02, 658.56 and 165.12 is: 247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.02 : 658.56 = 165.12 : x
  2. Step 2: Convert to fraction form
    439.02/658.56 = 165.12/x
  3. Step 3: Cross multiply
    439.02x = 658.56 × 165.12
  4. Step 4: Simplify right side
    439.02x = 108,741.43
  5. Step 5: Solve for x
    x = 108,741.43/439.02
  6. Step 6: Final answer
    x = 247.69

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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.