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Finding the Fourth Proportional to 196.62, 271.17 and 149.51

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Solution

The fourth proportional to 196.62, 271.17 and 149.51 is: 206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.62 : 271.17 = 149.51 : x
  2. Step 2: Convert to fraction form
    196.62/271.17 = 149.51/x
  3. Step 3: Cross multiply
    196.62x = 271.17 × 149.51
  4. Step 4: Simplify right side
    196.62x = 40,542.63
  5. Step 5: Solve for x
    x = 40,542.63/196.62
  6. Step 6: Final answer
    x = 206.20

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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.