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Finding the Fourth Proportional to 197.29, 272.32 and 123.56

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Solution

The fourth proportional to 197.29, 272.32 and 123.56 is: 170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.29 : 272.32 = 123.56 : x
  2. Step 2: Convert to fraction form
    197.29/272.32 = 123.56/x
  3. Step 3: Cross multiply
    197.29x = 272.32 × 123.56
  4. Step 4: Simplify right side
    197.29x = 33,647.86
  5. Step 5: Solve for x
    x = 33,647.86/197.29
  6. Step 6: Final answer
    x = 170.55

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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.