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Finding the Fourth Proportional to 276.73, 414.96 and 103.27

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Solution

The fourth proportional to 276.73, 414.96 and 103.27 is: 154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.73 : 414.96 = 103.27 : x
  2. Step 2: Convert to fraction form
    276.73/414.96 = 103.27/x
  3. Step 3: Cross multiply
    276.73x = 414.96 × 103.27
  4. Step 4: Simplify right side
    276.73x = 42,852.92
  5. Step 5: Solve for x
    x = 42,852.92/276.73
  6. Step 6: Final answer
    x = 154.85

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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.