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Finding the Fourth Proportional to 197.17, 271.48 and 169.12

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Solution

The fourth proportional to 197.17, 271.48 and 169.12 is: 232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.17 : 271.48 = 169.12 : x
  2. Step 2: Convert to fraction form
    197.17/271.48 = 169.12/x
  3. Step 3: Cross multiply
    197.17x = 271.48 × 169.12
  4. Step 4: Simplify right side
    197.17x = 45,913.76
  5. Step 5: Solve for x
    x = 45,913.76/197.17
  6. Step 6: Final answer
    x = 232.86

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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.