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Finding the Fourth Proportional to 276.46, 414.92 and 173.95

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Solution

The fourth proportional to 276.46, 414.92 and 173.95 is: 261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.46 : 414.92 = 173.95 : x
  2. Step 2: Convert to fraction form
    276.46/414.92 = 173.95/x
  3. Step 3: Cross multiply
    276.46x = 414.92 × 173.95
  4. Step 4: Simplify right side
    276.46x = 72,174.73
  5. Step 5: Solve for x
    x = 72,174.73/276.46
  6. Step 6: Final answer
    x = 261.07

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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.