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Finding the Fourth Proportional to 416.87, 624.92 and 142.89

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Solution

The fourth proportional to 416.87, 624.92 and 142.89 is: 214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.87 : 624.92 = 142.89 : x
  2. Step 2: Convert to fraction form
    416.87/624.92 = 142.89/x
  3. Step 3: Cross multiply
    416.87x = 624.92 × 142.89
  4. Step 4: Simplify right side
    416.87x = 89,296.15
  5. Step 5: Solve for x
    x = 89,296.15/416.87
  6. Step 6: Final answer
    x = 214.21

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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.