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Finding the Fourth Proportional to 204.75, 282.49 and 121.88

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Solution

The fourth proportional to 204.75, 282.49 and 121.88 is: 168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.75 : 282.49 = 121.88 : x
  2. Step 2: Convert to fraction form
    204.75/282.49 = 121.88/x
  3. Step 3: Cross multiply
    204.75x = 282.49 × 121.88
  4. Step 4: Simplify right side
    204.75x = 34,429.49
  5. Step 5: Solve for x
    x = 34,429.49/204.75
  6. Step 6: Final answer
    x = 168.15

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Why These Related Problems?

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