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Finding the Fourth Proportional to 204.92, 282.78 and 111.66

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Solution

The fourth proportional to 204.92, 282.78 and 111.66 is: 154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.92 : 282.78 = 111.66 : x
  2. Step 2: Convert to fraction form
    204.92/282.78 = 111.66/x
  3. Step 3: Cross multiply
    204.92x = 282.78 × 111.66
  4. Step 4: Simplify right side
    204.92x = 31,576.29
  5. Step 5: Solve for x
    x = 31,576.29/204.92
  6. Step 6: Final answer
    x = 154.09

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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.