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Finding the Fourth Proportional to 197.96, 296.44 and 140.08

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Solution

The fourth proportional to 197.96, 296.44 and 140.08 is: 209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.96 : 296.44 = 140.08 : x
  2. Step 2: Convert to fraction form
    197.96/296.44 = 140.08/x
  3. Step 3: Cross multiply
    197.96x = 296.44 × 140.08
  4. Step 4: Simplify right side
    197.96x = 41,525.32
  5. Step 5: Solve for x
    x = 41,525.32/197.96
  6. Step 6: Final answer
    x = 209.77

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