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Finding the Fourth Proportional to 308.91, 426.39 and 204.08

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Solution

The fourth proportional to 308.91, 426.39 and 204.08 is: 281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.91 : 426.39 = 204.08 : x
  2. Step 2: Convert to fraction form
    308.91/426.39 = 204.08/x
  3. Step 3: Cross multiply
    308.91x = 426.39 × 204.08
  4. Step 4: Simplify right side
    308.91x = 87,017.67
  5. Step 5: Solve for x
    x = 87,017.67/308.91
  6. Step 6: Final answer
    x = 281.69

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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.