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Finding the Fourth Proportional to 276.72, 415.20 and 180.72

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Solution

The fourth proportional to 276.72, 415.20 and 180.72 is: 271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.72 : 415.20 = 180.72 : x
  2. Step 2: Convert to fraction form
    276.72/415.20 = 180.72/x
  3. Step 3: Cross multiply
    276.72x = 415.20 × 180.72
  4. Step 4: Simplify right side
    276.72x = 75,034.94
  5. Step 5: Solve for x
    x = 75,034.94/276.72
  6. Step 6: Final answer
    x = 271.16

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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.