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Finding the Fourth Proportional to 276.78, 415.24 and 122.74

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Solution

The fourth proportional to 276.78, 415.24 and 122.74 is: 184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.78 : 415.24 = 122.74 : x
  2. Step 2: Convert to fraction form
    276.78/415.24 = 122.74/x
  3. Step 3: Cross multiply
    276.78x = 415.24 × 122.74
  4. Step 4: Simplify right side
    276.78x = 50,963.87
  5. Step 5: Solve for x
    x = 50,963.87/276.78
  6. Step 6: Final answer
    x = 184.13

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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.