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Finding the Fourth Proportional to 276.24, 414.12 and 199

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Solution

The fourth proportional to 276.24, 414.12 and 199 is: 298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.24 : 414.12 = 199 : x
  2. Step 2: Convert to fraction form
    276.24/414.12 = 199/x
  3. Step 3: Cross multiply
    276.24x = 414.12 × 199
  4. Step 4: Simplify right side
    276.24x = 82,409.88
  5. Step 5: Solve for x
    x = 82,409.88/276.24
  6. Step 6: Final answer
    x = 298.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.