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Finding the Fourth Proportional to 308.23, 462.38 and 102.80

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Solution

The fourth proportional to 308.23, 462.38 and 102.80 is: 154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.23 : 462.38 = 102.80 : x
  2. Step 2: Convert to fraction form
    308.23/462.38 = 102.80/x
  3. Step 3: Cross multiply
    308.23x = 462.38 × 102.80
  4. Step 4: Simplify right side
    308.23x = 47,532.66
  5. Step 5: Solve for x
    x = 47,532.66/308.23
  6. Step 6: Final answer
    x = 154.21

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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.