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Finding the Fourth Proportional to 197.71, 273.48 and 184.61

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Solution

The fourth proportional to 197.71, 273.48 and 184.61 is: 255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.71 : 273.48 = 184.61 : x
  2. Step 2: Convert to fraction form
    197.71/273.48 = 184.61/x
  3. Step 3: Cross multiply
    197.71x = 273.48 × 184.61
  4. Step 4: Simplify right side
    197.71x = 50,487.13
  5. Step 5: Solve for x
    x = 50,487.13/197.71
  6. Step 6: Final answer
    x = 255.36

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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.