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Finding the Fourth Proportional to 276.95, 415.44 and 180.56

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Solution

The fourth proportional to 276.95, 415.44 and 180.56 is: 270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.95 : 415.44 = 180.56 : x
  2. Step 2: Convert to fraction form
    276.95/415.44 = 180.56/x
  3. Step 3: Cross multiply
    276.95x = 415.44 × 180.56
  4. Step 4: Simplify right side
    276.95x = 75,012.89
  5. Step 5: Solve for x
    x = 75,012.89/276.95
  6. Step 6: Final answer
    x = 270.85

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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.