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Finding the Fourth Proportional to 308.25, 462.89 and 206.19

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Solution

The fourth proportional to 308.25, 462.89 and 206.19 is: 309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.25 : 462.89 = 206.19 : x
  2. Step 2: Convert to fraction form
    308.25/462.89 = 206.19/x
  3. Step 3: Cross multiply
    308.25x = 462.89 × 206.19
  4. Step 4: Simplify right side
    308.25x = 95,440.97
  5. Step 5: Solve for x
    x = 95,440.97/308.25
  6. Step 6: Final answer
    x = 309.63

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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.