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Finding the Fourth Proportional to 204.35, 282.02 and 121.46

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Solution

The fourth proportional to 204.35, 282.02 and 121.46 is: 167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.35 : 282.02 = 121.46 : x
  2. Step 2: Convert to fraction form
    204.35/282.02 = 121.46/x
  3. Step 3: Cross multiply
    204.35x = 282.02 × 121.46
  4. Step 4: Simplify right side
    204.35x = 34,253.54
  5. Step 5: Solve for x
    x = 34,253.54/204.35
  6. Step 6: Final answer
    x = 167.62

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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.