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Finding the Fourth Proportional to 196.80, 271.67 and 126.87

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Solution

The fourth proportional to 196.80, 271.67 and 126.87 is: 175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.80 : 271.67 = 126.87 : x
  2. Step 2: Convert to fraction form
    196.80/271.67 = 126.87/x
  3. Step 3: Cross multiply
    196.80x = 271.67 × 126.87
  4. Step 4: Simplify right side
    196.80x = 34,466.14
  5. Step 5: Solve for x
    x = 34,466.14/196.80
  6. Step 6: Final answer
    x = 175.13

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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.