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Finding the Fourth Proportional to 197.09, 271.86 and 123.38

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Solution

The fourth proportional to 197.09, 271.86 and 123.38 is: 170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.09 : 271.86 = 123.38 : x
  2. Step 2: Convert to fraction form
    197.09/271.86 = 123.38/x
  3. Step 3: Cross multiply
    197.09x = 271.86 × 123.38
  4. Step 4: Simplify right side
    197.09x = 33,542.09
  5. Step 5: Solve for x
    x = 33,542.09/197.09
  6. Step 6: Final answer
    x = 170.19

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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.