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Finding the Fourth Proportional to 308.55, 425.68 and 203.83

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Solution

The fourth proportional to 308.55, 425.68 and 203.83 is: 281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.55 : 425.68 = 203.83 : x
  2. Step 2: Convert to fraction form
    308.55/425.68 = 203.83/x
  3. Step 3: Cross multiply
    308.55x = 425.68 × 203.83
  4. Step 4: Simplify right side
    308.55x = 86,766.35
  5. Step 5: Solve for x
    x = 86,766.35/308.55
  6. Step 6: Final answer
    x = 281.21

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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.