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Finding the Fourth Proportional to 197.67, 272.76 and 110.33

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Solution

The fourth proportional to 197.67, 272.76 and 110.33 is: 152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.67 : 272.76 = 110.33 : x
  2. Step 2: Convert to fraction form
    197.67/272.76 = 110.33/x
  3. Step 3: Cross multiply
    197.67x = 272.76 × 110.33
  4. Step 4: Simplify right side
    197.67x = 30,092.25
  5. Step 5: Solve for x
    x = 30,092.25/197.67
  6. Step 6: Final answer
    x = 152.23

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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.