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Finding the Fourth Proportional to 276.53, 414.56 and 130.21

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Solution

The fourth proportional to 276.53, 414.56 and 130.21 is: 195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.53 : 414.56 = 130.21 : x
  2. Step 2: Convert to fraction form
    276.53/414.56 = 130.21/x
  3. Step 3: Cross multiply
    276.53x = 414.56 × 130.21
  4. Step 4: Simplify right side
    276.53x = 53,979.15
  5. Step 5: Solve for x
    x = 53,979.15/276.53
  6. Step 6: Final answer
    x = 195.20

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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.