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Finding the Fourth Proportional to 276.15, 414.22 and 131.43

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Solution

The fourth proportional to 276.15, 414.22 and 131.43 is: 197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.15 : 414.22 = 131.43 : x
  2. Step 2: Convert to fraction form
    276.15/414.22 = 131.43/x
  3. Step 3: Cross multiply
    276.15x = 414.22 × 131.43
  4. Step 4: Simplify right side
    276.15x = 54,438.21
  5. Step 5: Solve for x
    x = 54,438.21/276.15
  6. Step 6: Final answer
    x = 197.14

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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.