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Finding the Fourth Proportional to 276.32, 381.13 and 178.11

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Solution

The fourth proportional to 276.32, 381.13 and 178.11 is: 245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.32 : 381.13 = 178.11 : x
  2. Step 2: Convert to fraction form
    276.32/381.13 = 178.11/x
  3. Step 3: Cross multiply
    276.32x = 381.13 × 178.11
  4. Step 4: Simplify right side
    276.32x = 67,882.62
  5. Step 5: Solve for x
    x = 67,882.62/276.32
  6. Step 6: Final answer
    x = 245.66

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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.