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Finding the Fourth Proportional to 150.38, 224.69 and 111.17

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Solution

The fourth proportional to 150.38, 224.69 and 111.17 is: 166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.38 : 224.69 = 111.17 : x
  2. Step 2: Convert to fraction form
    150.38/224.69 = 111.17/x
  3. Step 3: Cross multiply
    150.38x = 224.69 × 111.17
  4. Step 4: Simplify right side
    150.38x = 24,978.79
  5. Step 5: Solve for x
    x = 24,978.79/150.38
  6. Step 6: Final answer
    x = 166.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.