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Finding the Fourth Proportional to 218.69, 327.82 and 97.02

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Solution

The fourth proportional to 218.69, 327.82 and 97.02 is: 145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.69 : 327.82 = 97.02 : x
  2. Step 2: Convert to fraction form
    218.69/327.82 = 97.02/x
  3. Step 3: Cross multiply
    218.69x = 327.82 × 97.02
  4. Step 4: Simplify right side
    218.69x = 31,805.10
  5. Step 5: Solve for x
    x = 31,805.10/218.69
  6. Step 6: Final answer
    x = 145.43

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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.