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Finding the Fourth Proportional to 276.30, 414.34 and 102.92

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Solution

The fourth proportional to 276.30, 414.34 and 102.92 is: 154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.30 : 414.34 = 102.92 : x
  2. Step 2: Convert to fraction form
    276.30/414.34 = 102.92/x
  3. Step 3: Cross multiply
    276.30x = 414.34 × 102.92
  4. Step 4: Simplify right side
    276.30x = 42,641.54
  5. Step 5: Solve for x
    x = 42,641.54/276.30
  6. Step 6: Final answer
    x = 154.33

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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.