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Finding the Fourth Proportional to 196.50, 271.20 and 149.94

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Solution

The fourth proportional to 196.50, 271.20 and 149.94 is: 206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.50 : 271.20 = 149.94 : x
  2. Step 2: Convert to fraction form
    196.50/271.20 = 149.94/x
  3. Step 3: Cross multiply
    196.50x = 271.20 × 149.94
  4. Step 4: Simplify right side
    196.50x = 40,663.73
  5. Step 5: Solve for x
    x = 40,663.73/196.50
  6. Step 6: Final answer
    x = 206.94

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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.