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Finding the Fourth Proportional to 204.20, 306.42 and 96.02

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Solution

The fourth proportional to 204.20, 306.42 and 96.02 is: 144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.20 : 306.42 = 96.02 : x
  2. Step 2: Convert to fraction form
    204.20/306.42 = 96.02/x
  3. Step 3: Cross multiply
    204.20x = 306.42 × 96.02
  4. Step 4: Simplify right side
    204.20x = 29,422.45
  5. Step 5: Solve for x
    x = 29,422.45/204.20
  6. Step 6: Final answer
    x = 144.09

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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.