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Finding the Fourth Proportional to 308.32, 425 and 203.24

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Solution

The fourth proportional to 308.32, 425 and 203.24 is: 280.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.32 : 425 = 203.24 : x
  2. Step 2: Convert to fraction form
    308.32/425 = 203.24/x
  3. Step 3: Cross multiply
    308.32x = 425 × 203.24
  4. Step 4: Simplify right side
    308.32x = 86,377
  5. Step 5: Solve for x
    x = 86,377/308.32
  6. Step 6: Final answer
    x = 280.15

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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.