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Finding the Fourth Proportional to 416.52, 624.76 and 142.61

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Solution

The fourth proportional to 416.52, 624.76 and 142.61 is: 213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.52 : 624.76 = 142.61 : x
  2. Step 2: Convert to fraction form
    416.52/624.76 = 142.61/x
  3. Step 3: Cross multiply
    416.52x = 624.76 × 142.61
  4. Step 4: Simplify right side
    416.52x = 89,095.89
  5. Step 5: Solve for x
    x = 89,095.89/416.52
  6. Step 6: Final answer
    x = 213.90

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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.