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Finding the Fourth Proportional to 151.57, 227.22 and 97.48

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Solution

The fourth proportional to 151.57, 227.22 and 97.48 is: 146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.57 : 227.22 = 97.48 : x
  2. Step 2: Convert to fraction form
    151.57/227.22 = 97.48/x
  3. Step 3: Cross multiply
    151.57x = 227.22 × 97.48
  4. Step 4: Simplify right side
    151.57x = 22,149.41
  5. Step 5: Solve for x
    x = 22,149.41/151.57
  6. Step 6: Final answer
    x = 146.13

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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.