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Finding the Fourth Proportional to 308.39, 425.16 and 203.30

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Solution

The fourth proportional to 308.39, 425.16 and 203.30 is: 280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.39 : 425.16 = 203.30 : x
  2. Step 2: Convert to fraction form
    308.39/425.16 = 203.30/x
  3. Step 3: Cross multiply
    308.39x = 425.16 × 203.30
  4. Step 4: Simplify right side
    308.39x = 86,432.90
  5. Step 5: Solve for x
    x = 86,432.90/308.39
  6. Step 6: Final answer
    x = 280.28

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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.