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Finding the Fourth Proportional to 237.14, 355.17 and 140.75

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Solution

The fourth proportional to 237.14, 355.17 and 140.75 is: 210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.14 : 355.17 = 140.75 : x
  2. Step 2: Convert to fraction form
    237.14/355.17 = 140.75/x
  3. Step 3: Cross multiply
    237.14x = 355.17 × 140.75
  4. Step 4: Simplify right side
    237.14x = 49,990.18
  5. Step 5: Solve for x
    x = 49,990.18/237.14
  6. Step 6: Final answer
    x = 210.80

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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.