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Finding the Fourth Proportional to 276.22, 414.13 and 102.80

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Solution

The fourth proportional to 276.22, 414.13 and 102.80 is: 154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.22 : 414.13 = 102.80 : x
  2. Step 2: Convert to fraction form
    276.22/414.13 = 102.80/x
  3. Step 3: Cross multiply
    276.22x = 414.13 × 102.80
  4. Step 4: Simplify right side
    276.22x = 42,572.56
  5. Step 5: Solve for x
    x = 42,572.56/276.22
  6. Step 6: Final answer
    x = 154.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.