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Finding the Fourth Proportional to 308.11, 462.16 and 217.21

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Solution

The fourth proportional to 308.11, 462.16 and 217.21 is: 325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.11 : 462.16 = 217.21 : x
  2. Step 2: Convert to fraction form
    308.11/462.16 = 217.21/x
  3. Step 3: Cross multiply
    308.11x = 462.16 × 217.21
  4. Step 4: Simplify right side
    308.11x = 100,385.77
  5. Step 5: Solve for x
    x = 100,385.77/308.11
  6. Step 6: Final answer
    x = 325.81

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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.