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Finding the Fourth Proportional to 416.42, 624.87 and 142.70

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Solution

The fourth proportional to 416.42, 624.87 and 142.70 is: 214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.42 : 624.87 = 142.70 : x
  2. Step 2: Convert to fraction form
    416.42/624.87 = 142.70/x
  3. Step 3: Cross multiply
    416.42x = 624.87 × 142.70
  4. Step 4: Simplify right side
    416.42x = 89,168.95
  5. Step 5: Solve for x
    x = 89,168.95/416.42
  6. Step 6: Final answer
    x = 214.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.