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Finding the Fourth Proportional to 276.89, 414.75 and 130.76

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Solution

The fourth proportional to 276.89, 414.75 and 130.76 is: 195.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.89 : 414.75 = 130.76 : x
  2. Step 2: Convert to fraction form
    276.89/414.75 = 130.76/x
  3. Step 3: Cross multiply
    276.89x = 414.75 × 130.76
  4. Step 4: Simplify right side
    276.89x = 54,230.64
  5. Step 5: Solve for x
    x = 54,230.64/276.89
  6. Step 6: Final answer
    x = 195.86

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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.