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Finding the Fourth Proportional to 276.42, 414.56 and 93.82

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Solution

The fourth proportional to 276.42, 414.56 and 93.82 is: 140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.42 : 414.56 = 93.82 : x
  2. Step 2: Convert to fraction form
    276.42/414.56 = 93.82/x
  3. Step 3: Cross multiply
    276.42x = 414.56 × 93.82
  4. Step 4: Simplify right side
    276.42x = 38,894.02
  5. Step 5: Solve for x
    x = 38,894.02/276.42
  6. Step 6: Final answer
    x = 140.71

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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.