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Finding the Fourth Proportional to 196.49, 271.17 and 107.98

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Solution

The fourth proportional to 196.49, 271.17 and 107.98 is: 149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.49 : 271.17 = 107.98 : x
  2. Step 2: Convert to fraction form
    196.49/271.17 = 107.98/x
  3. Step 3: Cross multiply
    196.49x = 271.17 × 107.98
  4. Step 4: Simplify right side
    196.49x = 29,280.94
  5. Step 5: Solve for x
    x = 29,280.94/196.49
  6. Step 6: Final answer
    x = 149.02

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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.