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Finding the Fourth Proportional to 197.69, 272.80 and 109.16

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Solution

The fourth proportional to 197.69, 272.80 and 109.16 is: 150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.69 : 272.80 = 109.16 : x
  2. Step 2: Convert to fraction form
    197.69/272.80 = 109.16/x
  3. Step 3: Cross multiply
    197.69x = 272.80 × 109.16
  4. Step 4: Simplify right side
    197.69x = 29,778.85
  5. Step 5: Solve for x
    x = 29,778.85/197.69
  6. Step 6: Final answer
    x = 150.64

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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.