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Finding the Fourth Proportional to 276.80, 414.88 and 185.56

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Solution

The fourth proportional to 276.80, 414.88 and 185.56 is: 278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.80 : 414.88 = 185.56 : x
  2. Step 2: Convert to fraction form
    276.80/414.88 = 185.56/x
  3. Step 3: Cross multiply
    276.80x = 414.88 × 185.56
  4. Step 4: Simplify right side
    276.80x = 76,985.13
  5. Step 5: Solve for x
    x = 76,985.13/276.80
  6. Step 6: Final answer
    x = 278.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.