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Finding the Fourth Proportional to 197.44, 272.54 and 132.13

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Solution

The fourth proportional to 197.44, 272.54 and 132.13 is: 182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.44 : 272.54 = 132.13 : x
  2. Step 2: Convert to fraction form
    197.44/272.54 = 132.13/x
  3. Step 3: Cross multiply
    197.44x = 272.54 × 132.13
  4. Step 4: Simplify right side
    197.44x = 36,011.01
  5. Step 5: Solve for x
    x = 36,011.01/197.44
  6. Step 6: Final answer
    x = 182.39

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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.