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Finding the Fourth Proportional to 151.72, 227.22 and 100.28

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Solution

The fourth proportional to 151.72, 227.22 and 100.28 is: 150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.72 : 227.22 = 100.28 : x
  2. Step 2: Convert to fraction form
    151.72/227.22 = 100.28/x
  3. Step 3: Cross multiply
    151.72x = 227.22 × 100.28
  4. Step 4: Simplify right side
    151.72x = 22,785.62
  5. Step 5: Solve for x
    x = 22,785.62/151.72
  6. Step 6: Final answer
    x = 150.18

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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.