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Finding the Fourth Proportional to 276.49, 381.48 and 178.13

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Solution

The fourth proportional to 276.49, 381.48 and 178.13 is: 245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.49 : 381.48 = 178.13 : x
  2. Step 2: Convert to fraction form
    276.49/381.48 = 178.13/x
  3. Step 3: Cross multiply
    276.49x = 381.48 × 178.13
  4. Step 4: Simplify right side
    276.49x = 67,951.79
  5. Step 5: Solve for x
    x = 67,951.79/276.49
  6. Step 6: Final answer
    x = 245.77

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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.