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Finding the Fourth Proportional to 197.16, 272.08 and 109.82

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Solution

The fourth proportional to 197.16, 272.08 and 109.82 is: 151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.16 : 272.08 = 109.82 : x
  2. Step 2: Convert to fraction form
    197.16/272.08 = 109.82/x
  3. Step 3: Cross multiply
    197.16x = 272.08 × 109.82
  4. Step 4: Simplify right side
    197.16x = 29,879.83
  5. Step 5: Solve for x
    x = 29,879.83/197.16
  6. Step 6: Final answer
    x = 151.55

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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.