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Finding the Fourth Proportional to 308.34, 462.61 and 206.03

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Solution

The fourth proportional to 308.34, 462.61 and 206.03 is: 309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.34 : 462.61 = 206.03 : x
  2. Step 2: Convert to fraction form
    308.34/462.61 = 206.03/x
  3. Step 3: Cross multiply
    308.34x = 462.61 × 206.03
  4. Step 4: Simplify right side
    308.34x = 95,311.54
  5. Step 5: Solve for x
    x = 95,311.54/308.34
  6. Step 6: Final answer
    x = 309.11

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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.