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Finding the Fourth Proportional to 150.12, 224.71 and 115.72

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Solution

The fourth proportional to 150.12, 224.71 and 115.72 is: 173.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.12 : 224.71 = 115.72 : x
  2. Step 2: Convert to fraction form
    150.12/224.71 = 115.72/x
  3. Step 3: Cross multiply
    150.12x = 224.71 × 115.72
  4. Step 4: Simplify right side
    150.12x = 26,003.44
  5. Step 5: Solve for x
    x = 26,003.44/150.12
  6. Step 6: Final answer
    x = 173.22

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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.