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Finding the Fourth Proportional to 237.13, 355.89 and 115.53

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Solution

The fourth proportional to 237.13, 355.89 and 115.53 is: 173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.13 : 355.89 = 115.53 : x
  2. Step 2: Convert to fraction form
    237.13/355.89 = 115.53/x
  3. Step 3: Cross multiply
    237.13x = 355.89 × 115.53
  4. Step 4: Simplify right side
    237.13x = 41,115.07
  5. Step 5: Solve for x
    x = 41,115.07/237.13
  6. Step 6: Final answer
    x = 173.39

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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.