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Finding the Fourth Proportional to 197.29, 272.25 and 109.96

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Solution

The fourth proportional to 197.29, 272.25 and 109.96 is: 151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.29 : 272.25 = 109.96 : x
  2. Step 2: Convert to fraction form
    197.29/272.25 = 109.96/x
  3. Step 3: Cross multiply
    197.29x = 272.25 × 109.96
  4. Step 4: Simplify right side
    197.29x = 29,935.25
  5. Step 5: Solve for x
    x = 29,935.25/197.29
  6. Step 6: Final answer
    x = 151.74

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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.