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Finding the Fourth Proportional to 439.12, 658.51 and 146.61

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Solution

The fourth proportional to 439.12, 658.51 and 146.61 is: 219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.12 : 658.51 = 146.61 : x
  2. Step 2: Convert to fraction form
    439.12/658.51 = 146.61/x
  3. Step 3: Cross multiply
    439.12x = 658.51 × 146.61
  4. Step 4: Simplify right side
    439.12x = 96,544.15
  5. Step 5: Solve for x
    x = 96,544.15/439.12
  6. Step 6: Final answer
    x = 219.86

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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.