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Finding the Fourth Proportional to 276.29, 381.06 and 178.05

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Solution

The fourth proportional to 276.29, 381.06 and 178.05 is: 245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.29 : 381.06 = 178.05 : x
  2. Step 2: Convert to fraction form
    276.29/381.06 = 178.05/x
  3. Step 3: Cross multiply
    276.29x = 381.06 × 178.05
  4. Step 4: Simplify right side
    276.29x = 67,847.73
  5. Step 5: Solve for x
    x = 67,847.73/276.29
  6. Step 6: Final answer
    x = 245.57

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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.