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Finding the Fourth Proportional to 276.87, 415.14 and 94.17

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Solution

The fourth proportional to 276.87, 415.14 and 94.17 is: 141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.87 : 415.14 = 94.17 : x
  2. Step 2: Convert to fraction form
    276.87/415.14 = 94.17/x
  3. Step 3: Cross multiply
    276.87x = 415.14 × 94.17
  4. Step 4: Simplify right side
    276.87x = 39,093.73
  5. Step 5: Solve for x
    x = 39,093.73/276.87
  6. Step 6: Final answer
    x = 141.20

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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.