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Finding the Fourth Proportional to 197.82, 274.23 and 194.94

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Solution

The fourth proportional to 197.82, 274.23 and 194.94 is: 270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.82 : 274.23 = 194.94 : x
  2. Step 2: Convert to fraction form
    197.82/274.23 = 194.94/x
  3. Step 3: Cross multiply
    197.82x = 274.23 × 194.94
  4. Step 4: Simplify right side
    197.82x = 53,458.40
  5. Step 5: Solve for x
    x = 53,458.40/197.82
  6. Step 6: Final answer
    x = 270.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.