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Finding the Fourth Proportional to 197.10, 271.84 and 166.09

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Solution

The fourth proportional to 197.10, 271.84 and 166.09 is: 229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.10 : 271.84 = 166.09 : x
  2. Step 2: Convert to fraction form
    197.10/271.84 = 166.09/x
  3. Step 3: Cross multiply
    197.10x = 271.84 × 166.09
  4. Step 4: Simplify right side
    197.10x = 45,149.91
  5. Step 5: Solve for x
    x = 45,149.91/197.10
  6. Step 6: Final answer
    x = 229.07

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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.