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Finding the Fourth Proportional to 276.86, 415.44 and 122.78

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Solution

The fourth proportional to 276.86, 415.44 and 122.78 is: 184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.86 : 415.44 = 122.78 : x
  2. Step 2: Convert to fraction form
    276.86/415.44 = 122.78/x
  3. Step 3: Cross multiply
    276.86x = 415.44 × 122.78
  4. Step 4: Simplify right side
    276.86x = 51,005.65
  5. Step 5: Solve for x
    x = 51,005.65/276.86
  6. Step 6: Final answer
    x = 184.23

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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.