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Finding the Fourth Proportional to 218.57, 327.65 and 81.54

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Solution

The fourth proportional to 218.57, 327.65 and 81.54 is: 122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.57 : 327.65 = 81.54 : x
  2. Step 2: Convert to fraction form
    218.57/327.65 = 81.54/x
  3. Step 3: Cross multiply
    218.57x = 327.65 × 81.54
  4. Step 4: Simplify right side
    218.57x = 26,716.17
  5. Step 5: Solve for x
    x = 26,716.17/218.57
  6. Step 6: Final answer
    x = 122.23

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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.