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Finding the Fourth Proportional to 276.50, 414.20 and 122.06

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Solution

The fourth proportional to 276.50, 414.20 and 122.06 is: 182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.50 : 414.20 = 122.06 : x
  2. Step 2: Convert to fraction form
    276.50/414.20 = 122.06/x
  3. Step 3: Cross multiply
    276.50x = 414.20 × 122.06
  4. Step 4: Simplify right side
    276.50x = 50,557.25
  5. Step 5: Solve for x
    x = 50,557.25/276.50
  6. Step 6: Final answer
    x = 182.85

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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.