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Finding the Fourth Proportional to 196.75, 271.45 and 123.11

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Solution

The fourth proportional to 196.75, 271.45 and 123.11 is: 169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.75 : 271.45 = 123.11 : x
  2. Step 2: Convert to fraction form
    196.75/271.45 = 123.11/x
  3. Step 3: Cross multiply
    196.75x = 271.45 × 123.11
  4. Step 4: Simplify right side
    196.75x = 33,418.21
  5. Step 5: Solve for x
    x = 33,418.21/196.75
  6. Step 6: Final answer
    x = 169.85

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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.