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Finding the Fourth Proportional to 274.81, 411.57 and 226.21

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Solution

The fourth proportional to 274.81, 411.57 and 226.21 is: 338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.81 : 411.57 = 226.21 : x
  2. Step 2: Convert to fraction form
    274.81/411.57 = 226.21/x
  3. Step 3: Cross multiply
    274.81x = 411.57 × 226.21
  4. Step 4: Simplify right side
    274.81x = 93,101.25
  5. Step 5: Solve for x
    x = 93,101.25/274.81
  6. Step 6: Final answer
    x = 338.78

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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.