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Finding the Fourth Proportional to 197.29, 271.97 and 138.09

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Solution

The fourth proportional to 197.29, 271.97 and 138.09 is: 190.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.29 : 271.97 = 138.09 : x
  2. Step 2: Convert to fraction form
    197.29/271.97 = 138.09/x
  3. Step 3: Cross multiply
    197.29x = 271.97 × 138.09
  4. Step 4: Simplify right side
    197.29x = 37,557.19
  5. Step 5: Solve for x
    x = 37,557.19/197.29
  6. Step 6: Final answer
    x = 190.37

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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.