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Finding the Fourth Proportional to 204.91, 282.72 and 121.99

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Solution

The fourth proportional to 204.91, 282.72 and 121.99 is: 168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.91 : 282.72 = 121.99 : x
  2. Step 2: Convert to fraction form
    204.91/282.72 = 121.99/x
  3. Step 3: Cross multiply
    204.91x = 282.72 × 121.99
  4. Step 4: Simplify right side
    204.91x = 34,489.01
  5. Step 5: Solve for x
    x = 34,489.01/204.91
  6. Step 6: Final answer
    x = 168.31

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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.