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Finding the Fourth Proportional to 197.44, 272.46 and 131.93

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Solution

The fourth proportional to 197.44, 272.46 and 131.93 is: 182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.44 : 272.46 = 131.93 : x
  2. Step 2: Convert to fraction form
    197.44/272.46 = 131.93/x
  3. Step 3: Cross multiply
    197.44x = 272.46 × 131.93
  4. Step 4: Simplify right side
    197.44x = 35,945.80
  5. Step 5: Solve for x
    x = 35,945.80/197.44
  6. Step 6: Final answer
    x = 182.06

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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.