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Finding the Fourth Proportional to 204.97, 282.81 and 120.91

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Solution

The fourth proportional to 204.97, 282.81 and 120.91 is: 166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.97 : 282.81 = 120.91 : x
  2. Step 2: Convert to fraction form
    204.97/282.81 = 120.91/x
  3. Step 3: Cross multiply
    204.97x = 282.81 × 120.91
  4. Step 4: Simplify right side
    204.97x = 34,195.01
  5. Step 5: Solve for x
    x = 34,195.01/204.97
  6. Step 6: Final answer
    x = 166.83

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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.