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Finding the Fourth Proportional to 197.82, 296.74 and 165.70

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Solution

The fourth proportional to 197.82, 296.74 and 165.70 is: 248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.82 : 296.74 = 165.70 : x
  2. Step 2: Convert to fraction form
    197.82/296.74 = 165.70/x
  3. Step 3: Cross multiply
    197.82x = 296.74 × 165.70
  4. Step 4: Simplify right side
    197.82x = 49,169.82
  5. Step 5: Solve for x
    x = 49,169.82/197.82
  6. Step 6: Final answer
    x = 248.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.