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Finding the Fourth Proportional to 218.30, 327.36 and 96.42

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Solution

The fourth proportional to 218.30, 327.36 and 96.42 is: 144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.30 : 327.36 = 96.42 : x
  2. Step 2: Convert to fraction form
    218.30/327.36 = 96.42/x
  3. Step 3: Cross multiply
    218.30x = 327.36 × 96.42
  4. Step 4: Simplify right side
    218.30x = 31,564.05
  5. Step 5: Solve for x
    x = 31,564.05/218.30
  6. Step 6: Final answer
    x = 144.59

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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.