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Finding the Fourth Proportional to 151.22, 227.16 and 99.96

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Solution

The fourth proportional to 151.22, 227.16 and 99.96 is: 150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.22 : 227.16 = 99.96 : x
  2. Step 2: Convert to fraction form
    151.22/227.16 = 99.96/x
  3. Step 3: Cross multiply
    151.22x = 227.16 × 99.96
  4. Step 4: Simplify right side
    151.22x = 22,706.91
  5. Step 5: Solve for x
    x = 22,706.91/151.22
  6. Step 6: Final answer
    x = 150.16

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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.