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Finding the Fourth Proportional to 218.31, 327.66 and 102.83

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Solution

The fourth proportional to 218.31, 327.66 and 102.83 is: 154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.31 : 327.66 = 102.83 : x
  2. Step 2: Convert to fraction form
    218.31/327.66 = 102.83/x
  3. Step 3: Cross multiply
    218.31x = 327.66 × 102.83
  4. Step 4: Simplify right side
    218.31x = 33,691.64
  5. Step 5: Solve for x
    x = 33,691.64/218.31
  6. Step 6: Final answer
    x = 154.33

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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.