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Finding the Fourth Proportional to 276.31, 381.41 and 178.03

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Solution

The fourth proportional to 276.31, 381.41 and 178.03 is: 245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.31 : 381.41 = 178.03 : x
  2. Step 2: Convert to fraction form
    276.31/381.41 = 178.03/x
  3. Step 3: Cross multiply
    276.31x = 381.41 × 178.03
  4. Step 4: Simplify right side
    276.31x = 67,902.68
  5. Step 5: Solve for x
    x = 67,902.68/276.31
  6. Step 6: Final answer
    x = 245.75

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Why These Related Problems?

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