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Finding the Fourth Proportional to 204.53, 282.24 and 142.34

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Solution

The fourth proportional to 204.53, 282.24 and 142.34 is: 196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.53 : 282.24 = 142.34 : x
  2. Step 2: Convert to fraction form
    204.53/282.24 = 142.34/x
  3. Step 3: Cross multiply
    204.53x = 282.24 × 142.34
  4. Step 4: Simplify right side
    204.53x = 40,172.63
  5. Step 5: Solve for x
    x = 40,172.63/204.53
  6. Step 6: Final answer
    x = 196.42

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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.