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Finding the Fourth Proportional to 204.92, 282.90 and 142

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Solution

The fourth proportional to 204.92, 282.90 and 142 is: 196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.92 : 282.90 = 142 : x
  2. Step 2: Convert to fraction form
    204.92/282.90 = 142/x
  3. Step 3: Cross multiply
    204.92x = 282.90 × 142
  4. Step 4: Simplify right side
    204.92x = 40,171.80
  5. Step 5: Solve for x
    x = 40,171.80/204.92
  6. Step 6: Final answer
    x = 196.04

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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.