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Finding the Fourth Proportional to 416.73, 624.95 and 142.75

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Solution

The fourth proportional to 416.73, 624.95 and 142.75 is: 214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.73 : 624.95 = 142.75 : x
  2. Step 2: Convert to fraction form
    416.73/624.95 = 142.75/x
  3. Step 3: Cross multiply
    416.73x = 624.95 × 142.75
  4. Step 4: Simplify right side
    416.73x = 89,209.34
  5. Step 5: Solve for x
    x = 89,209.34/416.73
  6. Step 6: Final answer
    x = 214.07

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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.