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Finding the Fourth Proportional to 197.39, 272.42 and 110.07

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Solution

The fourth proportional to 197.39, 272.42 and 110.07 is: 151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.39 : 272.42 = 110.07 : x
  2. Step 2: Convert to fraction form
    197.39/272.42 = 110.07/x
  3. Step 3: Cross multiply
    197.39x = 272.42 × 110.07
  4. Step 4: Simplify right side
    197.39x = 29,984.72
  5. Step 5: Solve for x
    x = 29,984.72/197.39
  6. Step 6: Final answer
    x = 151.91

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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.