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Finding the Fourth Proportional to 151.47, 226.94 and 93.78

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Solution

The fourth proportional to 151.47, 226.94 and 93.78 is: 140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.47 : 226.94 = 93.78 : x
  2. Step 2: Convert to fraction form
    151.47/226.94 = 93.78/x
  3. Step 3: Cross multiply
    151.47x = 226.94 × 93.78
  4. Step 4: Simplify right side
    151.47x = 21,281.96
  5. Step 5: Solve for x
    x = 21,281.96/151.47
  6. Step 6: Final answer
    x = 140.50

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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.