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Finding the Fourth Proportional to 276.10, 414.22 and 227.92

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Solution

The fourth proportional to 276.10, 414.22 and 227.92 is: 341.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.10 : 414.22 = 227.92 : x
  2. Step 2: Convert to fraction form
    276.10/414.22 = 227.92/x
  3. Step 3: Cross multiply
    276.10x = 414.22 × 227.92
  4. Step 4: Simplify right side
    276.10x = 94,409.02
  5. Step 5: Solve for x
    x = 94,409.02/276.10
  6. Step 6: Final answer
    x = 341.94

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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.