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Finding the Fourth Proportional to 150.14, 224.85 and 115.65

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Solution

The fourth proportional to 150.14, 224.85 and 115.65 is: 173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.14 : 224.85 = 115.65 : x
  2. Step 2: Convert to fraction form
    150.14/224.85 = 115.65/x
  3. Step 3: Cross multiply
    150.14x = 224.85 × 115.65
  4. Step 4: Simplify right side
    150.14x = 26,003.90
  5. Step 5: Solve for x
    x = 26,003.90/150.14
  6. Step 6: Final answer
    x = 173.20

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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.