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Finding the Fourth Proportional to 308.92, 426.04 and 226.12

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Solution

The fourth proportional to 308.92, 426.04 and 226.12 is: 311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.92 : 426.04 = 226.12 : x
  2. Step 2: Convert to fraction form
    308.92/426.04 = 226.12/x
  3. Step 3: Cross multiply
    308.92x = 426.04 × 226.12
  4. Step 4: Simplify right side
    308.92x = 96,336.16
  5. Step 5: Solve for x
    x = 96,336.16/308.92
  6. Step 6: Final answer
    x = 311.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.