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Finding the Fourth Proportional to 276.80, 381.87 and 178.58

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Solution

The fourth proportional to 276.80, 381.87 and 178.58 is: 246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.80 : 381.87 = 178.58 : x
  2. Step 2: Convert to fraction form
    276.80/381.87 = 178.58/x
  3. Step 3: Cross multiply
    276.80x = 381.87 × 178.58
  4. Step 4: Simplify right side
    276.80x = 68,194.34
  5. Step 5: Solve for x
    x = 68,194.34/276.80
  6. Step 6: Final answer
    x = 246.37

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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.