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Finding the Fourth Proportional to 196.56, 271.22 and 126.63

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Solution

The fourth proportional to 196.56, 271.22 and 126.63 is: 174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.56 : 271.22 = 126.63 : x
  2. Step 2: Convert to fraction form
    196.56/271.22 = 126.63/x
  3. Step 3: Cross multiply
    196.56x = 271.22 × 126.63
  4. Step 4: Simplify right side
    196.56x = 34,343.96
  5. Step 5: Solve for x
    x = 34,343.96/196.56
  6. Step 6: Final answer
    x = 174.73

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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.