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Finding the Fourth Proportional to 276.19, 381.31 and 178.12

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Solution

The fourth proportional to 276.19, 381.31 and 178.12 is: 245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.19 : 381.31 = 178.12 : x
  2. Step 2: Convert to fraction form
    276.19/381.31 = 178.12/x
  3. Step 3: Cross multiply
    276.19x = 381.31 × 178.12
  4. Step 4: Simplify right side
    276.19x = 67,917.54
  5. Step 5: Solve for x
    x = 67,917.54/276.19
  6. Step 6: Final answer
    x = 245.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.