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Finding the Fourth Proportional to 308.62, 462.30 and 200.08

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Solution

The fourth proportional to 308.62, 462.30 and 200.08 is: 299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.62 : 462.30 = 200.08 : x
  2. Step 2: Convert to fraction form
    308.62/462.30 = 200.08/x
  3. Step 3: Cross multiply
    308.62x = 462.30 × 200.08
  4. Step 4: Simplify right side
    308.62x = 92,496.98
  5. Step 5: Solve for x
    x = 92,496.98/308.62
  6. Step 6: Final answer
    x = 299.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.