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Finding the Fourth Proportional to 197.11, 271.72 and 150.38

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Solution

The fourth proportional to 197.11, 271.72 and 150.38 is: 207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.11 : 271.72 = 150.38 : x
  2. Step 2: Convert to fraction form
    197.11/271.72 = 150.38/x
  3. Step 3: Cross multiply
    197.11x = 271.72 × 150.38
  4. Step 4: Simplify right side
    197.11x = 40,861.56
  5. Step 5: Solve for x
    x = 40,861.56/197.11
  6. Step 6: Final answer
    x = 207.31

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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.