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Finding the Fourth Proportional to 276.72, 415.08 and 180.24

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Solution

The fourth proportional to 276.72, 415.08 and 180.24 is: 270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.72 : 415.08 = 180.24 : x
  2. Step 2: Convert to fraction form
    276.72/415.08 = 180.24/x
  3. Step 3: Cross multiply
    276.72x = 415.08 × 180.24
  4. Step 4: Simplify right side
    276.72x = 74,814.02
  5. Step 5: Solve for x
    x = 74,814.02/276.72
  6. Step 6: Final answer
    x = 270.36

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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.