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Finding the Fourth Proportional to 276.87, 414.23 and 199.98

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Solution

The fourth proportional to 276.87, 414.23 and 199.98 is: 299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.87 : 414.23 = 199.98 : x
  2. Step 2: Convert to fraction form
    276.87/414.23 = 199.98/x
  3. Step 3: Cross multiply
    276.87x = 414.23 × 199.98
  4. Step 4: Simplify right side
    276.87x = 82,836.72
  5. Step 5: Solve for x
    x = 82,836.72/276.87
  6. Step 6: Final answer
    x = 299.19

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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.