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Finding the Fourth Proportional to 197.18, 271.96 and 164.38

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Solution

The fourth proportional to 197.18, 271.96 and 164.38 is: 226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.18 : 271.96 = 164.38 : x
  2. Step 2: Convert to fraction form
    197.18/271.96 = 164.38/x
  3. Step 3: Cross multiply
    197.18x = 271.96 × 164.38
  4. Step 4: Simplify right side
    197.18x = 44,704.78
  5. Step 5: Solve for x
    x = 44,704.78/197.18
  6. Step 6: Final answer
    x = 226.72

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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.