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Finding the Fourth Proportional to 276.78, 415.26 and 132.42

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Solution

The fourth proportional to 276.78, 415.26 and 132.42 is: 198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.78 : 415.26 = 132.42 : x
  2. Step 2: Convert to fraction form
    276.78/415.26 = 132.42/x
  3. Step 3: Cross multiply
    276.78x = 415.26 × 132.42
  4. Step 4: Simplify right side
    276.78x = 54,988.73
  5. Step 5: Solve for x
    x = 54,988.73/276.78
  6. Step 6: Final answer
    x = 198.67

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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.