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Finding the Fourth Proportional to 197.54, 272.32 and 138.44

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Solution

The fourth proportional to 197.54, 272.32 and 138.44 is: 190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.54 : 272.32 = 138.44 : x
  2. Step 2: Convert to fraction form
    197.54/272.32 = 138.44/x
  3. Step 3: Cross multiply
    197.54x = 272.32 × 138.44
  4. Step 4: Simplify right side
    197.54x = 37,699.98
  5. Step 5: Solve for x
    x = 37,699.98/197.54
  6. Step 6: Final answer
    x = 190.85

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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.