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Finding the Fourth Proportional to 204.63, 282.34 and 121.75

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Solution

The fourth proportional to 204.63, 282.34 and 121.75 is: 167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.63 : 282.34 = 121.75 : x
  2. Step 2: Convert to fraction form
    204.63/282.34 = 121.75/x
  3. Step 3: Cross multiply
    204.63x = 282.34 × 121.75
  4. Step 4: Simplify right side
    204.63x = 34,374.90
  5. Step 5: Solve for x
    x = 34,374.90/204.63
  6. Step 6: Final answer
    x = 167.99

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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.