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Finding the Fourth Proportional to 197.86, 272.85 and 138.10

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Solution

The fourth proportional to 197.86, 272.85 and 138.10 is: 190.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.86 : 272.85 = 138.10 : x
  2. Step 2: Convert to fraction form
    197.86/272.85 = 138.10/x
  3. Step 3: Cross multiply
    197.86x = 272.85 × 138.10
  4. Step 4: Simplify right side
    197.86x = 37,680.59
  5. Step 5: Solve for x
    x = 37,680.59/197.86
  6. Step 6: Final answer
    x = 190.44

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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.