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Finding the Fourth Proportional to 197.98, 296.64 and 140.09

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Solution

The fourth proportional to 197.98, 296.64 and 140.09 is: 209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.98 : 296.64 = 140.09 : x
  2. Step 2: Convert to fraction form
    197.98/296.64 = 140.09/x
  3. Step 3: Cross multiply
    197.98x = 296.64 × 140.09
  4. Step 4: Simplify right side
    197.98x = 41,557.04
  5. Step 5: Solve for x
    x = 41,557.04/197.98
  6. Step 6: Final answer
    x = 209.91

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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.