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Finding the Fourth Proportional to 151.92, 227.90 and 65.29

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Solution

The fourth proportional to 151.92, 227.90 and 65.29 is: 97.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.92 : 227.90 = 65.29 : x
  2. Step 2: Convert to fraction form
    151.92/227.90 = 65.29/x
  3. Step 3: Cross multiply
    151.92x = 227.90 × 65.29
  4. Step 4: Simplify right side
    151.92x = 14,879.59
  5. Step 5: Solve for x
    x = 14,879.59/151.92
  6. Step 6: Final answer
    x = 97.94

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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.