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Finding the Fourth Proportional to 197.67, 272.92 and 156.43

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Solution

The fourth proportional to 197.67, 272.92 and 156.43 is: 215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.67 : 272.92 = 156.43 : x
  2. Step 2: Convert to fraction form
    197.67/272.92 = 156.43/x
  3. Step 3: Cross multiply
    197.67x = 272.92 × 156.43
  4. Step 4: Simplify right side
    197.67x = 42,691.51
  5. Step 5: Solve for x
    x = 42,691.51/197.67
  6. Step 6: Final answer
    x = 215.97

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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.