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Finding the Fourth Proportional to 197.09, 272.37 and 163.87

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Solution

The fourth proportional to 197.09, 272.37 and 163.87 is: 226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.09 : 272.37 = 163.87 : x
  2. Step 2: Convert to fraction form
    197.09/272.37 = 163.87/x
  3. Step 3: Cross multiply
    197.09x = 272.37 × 163.87
  4. Step 4: Simplify right side
    197.09x = 44,632.28
  5. Step 5: Solve for x
    x = 44,632.28/197.09
  6. Step 6: Final answer
    x = 226.45

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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.