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Finding the Fourth Proportional to 142.42, 213.82 and 136.22

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Solution

The fourth proportional to 142.42, 213.82 and 136.22 is: 204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.42 : 213.82 = 136.22 : x
  2. Step 2: Convert to fraction form
    142.42/213.82 = 136.22/x
  3. Step 3: Cross multiply
    142.42x = 213.82 × 136.22
  4. Step 4: Simplify right side
    142.42x = 29,126.56
  5. Step 5: Solve for x
    x = 29,126.56/142.42
  6. Step 6: Final answer
    x = 204.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.