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Finding the Fourth Proportional to 204.46, 306.81 and 88.88

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Solution

The fourth proportional to 204.46, 306.81 and 88.88 is: 133.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.46 : 306.81 = 88.88 : x
  2. Step 2: Convert to fraction form
    204.46/306.81 = 88.88/x
  3. Step 3: Cross multiply
    204.46x = 306.81 × 88.88
  4. Step 4: Simplify right side
    204.46x = 27,269.27
  5. Step 5: Solve for x
    x = 27,269.27/204.46
  6. Step 6: Final answer
    x = 133.37

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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.