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Finding the Fourth Proportional to 276.60, 414.90 and 122.44

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Solution

The fourth proportional to 276.60, 414.90 and 122.44 is: 183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.60 : 414.90 = 122.44 : x
  2. Step 2: Convert to fraction form
    276.60/414.90 = 122.44/x
  3. Step 3: Cross multiply
    276.60x = 414.90 × 122.44
  4. Step 4: Simplify right side
    276.60x = 50,800.36
  5. Step 5: Solve for x
    x = 50,800.36/276.60
  6. Step 6: Final answer
    x = 183.66

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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.