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Finding the Fourth Proportional to 274.92, 412.65 and 206.61

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Solution

The fourth proportional to 274.92, 412.65 and 206.61 is: 310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.92 : 412.65 = 206.61 : x
  2. Step 2: Convert to fraction form
    274.92/412.65 = 206.61/x
  3. Step 3: Cross multiply
    274.92x = 412.65 × 206.61
  4. Step 4: Simplify right side
    274.92x = 85,257.62
  5. Step 5: Solve for x
    x = 85,257.62/274.92
  6. Step 6: Final answer
    x = 310.12

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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.