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Finding the Fourth Proportional to 204.46, 282.10 and 142.22

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Solution

The fourth proportional to 204.46, 282.10 and 142.22 is: 196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.46 : 282.10 = 142.22 : x
  2. Step 2: Convert to fraction form
    204.46/282.10 = 142.22/x
  3. Step 3: Cross multiply
    204.46x = 282.10 × 142.22
  4. Step 4: Simplify right side
    204.46x = 40,120.26
  5. Step 5: Solve for x
    x = 40,120.26/204.46
  6. Step 6: Final answer
    x = 196.23

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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.