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Finding the Fourth Proportional to 308.26, 462.31 and 102.83

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Solution

The fourth proportional to 308.26, 462.31 and 102.83 is: 154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.26 : 462.31 = 102.83 : x
  2. Step 2: Convert to fraction form
    308.26/462.31 = 102.83/x
  3. Step 3: Cross multiply
    308.26x = 462.31 × 102.83
  4. Step 4: Simplify right side
    308.26x = 47,539.34
  5. Step 5: Solve for x
    x = 47,539.34/308.26
  6. Step 6: Final answer
    x = 154.22

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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.