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Finding the Fourth Proportional to 218.19, 327.24 and 96.39

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Solution

The fourth proportional to 218.19, 327.24 and 96.39 is: 144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.19 : 327.24 = 96.39 : x
  2. Step 2: Convert to fraction form
    218.19/327.24 = 96.39/x
  3. Step 3: Cross multiply
    218.19x = 327.24 × 96.39
  4. Step 4: Simplify right side
    218.19x = 31,542.66
  5. Step 5: Solve for x
    x = 31,542.66/218.19
  6. Step 6: Final answer
    x = 144.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.