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Finding the Fourth Proportional to 196.52, 271.13 and 131.09

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Solution

The fourth proportional to 196.52, 271.13 and 131.09 is: 180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.52 : 271.13 = 131.09 : x
  2. Step 2: Convert to fraction form
    196.52/271.13 = 131.09/x
  3. Step 3: Cross multiply
    196.52x = 271.13 × 131.09
  4. Step 4: Simplify right side
    196.52x = 35,540.42
  5. Step 5: Solve for x
    x = 35,540.42/196.52
  6. Step 6: Final answer
    x = 180.85

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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.