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Finding the Fourth Proportional to 180.38, 270.08 and 149.85

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Solution

The fourth proportional to 180.38, 270.08 and 149.85 is: 224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.38 : 270.08 = 149.85 : x
  2. Step 2: Convert to fraction form
    180.38/270.08 = 149.85/x
  3. Step 3: Cross multiply
    180.38x = 270.08 × 149.85
  4. Step 4: Simplify right side
    180.38x = 40,472.14
  5. Step 5: Solve for x
    x = 40,472.14/180.38
  6. Step 6: Final answer
    x = 224.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.