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Finding the Fourth Proportional to 151.92, 227.70 and 78.78

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Solution

The fourth proportional to 151.92, 227.70 and 78.78 is: 118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.92 : 227.70 = 78.78 : x
  2. Step 2: Convert to fraction form
    151.92/227.70 = 78.78/x
  3. Step 3: Cross multiply
    151.92x = 227.70 × 78.78
  4. Step 4: Simplify right side
    151.92x = 17,938.21
  5. Step 5: Solve for x
    x = 17,938.21/151.92
  6. Step 6: Final answer
    x = 118.08

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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.