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Finding the Fourth Proportional to 276.82, 415.33 and 122.86

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Solution

The fourth proportional to 276.82, 415.33 and 122.86 is: 184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.82 : 415.33 = 122.86 : x
  2. Step 2: Convert to fraction form
    276.82/415.33 = 122.86/x
  3. Step 3: Cross multiply
    276.82x = 415.33 × 122.86
  4. Step 4: Simplify right side
    276.82x = 51,025.38
  5. Step 5: Solve for x
    x = 51,025.38/276.82
  6. Step 6: Final answer
    x = 184.33

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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.