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Finding the Fourth Proportional to 151.38, 227.14 and 102.50

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Solution

The fourth proportional to 151.38, 227.14 and 102.50 is: 153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.38 : 227.14 = 102.50 : x
  2. Step 2: Convert to fraction form
    151.38/227.14 = 102.50/x
  3. Step 3: Cross multiply
    151.38x = 227.14 × 102.50
  4. Step 4: Simplify right side
    151.38x = 23,281.85
  5. Step 5: Solve for x
    x = 23,281.85/151.38
  6. Step 6: Final answer
    x = 153.80

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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.