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Finding the Fourth Proportional to 204.55, 282.33 and 121.68

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Solution

The fourth proportional to 204.55, 282.33 and 121.68 is: 167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.55 : 282.33 = 121.68 : x
  2. Step 2: Convert to fraction form
    204.55/282.33 = 121.68/x
  3. Step 3: Cross multiply
    204.55x = 282.33 × 121.68
  4. Step 4: Simplify right side
    204.55x = 34,353.91
  5. Step 5: Solve for x
    x = 34,353.91/204.55
  6. Step 6: Final answer
    x = 167.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.