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Finding the Fourth Proportional to 276.34, 381.14 and 178.04

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Solution

The fourth proportional to 276.34, 381.14 and 178.04 is: 245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.34 : 381.14 = 178.04 : x
  2. Step 2: Convert to fraction form
    276.34/381.14 = 178.04/x
  3. Step 3: Cross multiply
    276.34x = 381.14 × 178.04
  4. Step 4: Simplify right side
    276.34x = 67,858.17
  5. Step 5: Solve for x
    x = 67,858.17/276.34
  6. Step 6: Final answer
    x = 245.56

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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.