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Finding the Fourth Proportional to 196.40, 271.06 and 149.70

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Solution

The fourth proportional to 196.40, 271.06 and 149.70 is: 206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.40 : 271.06 = 149.70 : x
  2. Step 2: Convert to fraction form
    196.40/271.06 = 149.70/x
  3. Step 3: Cross multiply
    196.40x = 271.06 × 149.70
  4. Step 4: Simplify right side
    196.40x = 40,577.68
  5. Step 5: Solve for x
    x = 40,577.68/196.40
  6. Step 6: Final answer
    x = 206.61

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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.