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Finding the Fourth Proportional to 197.42, 296.01 and 140.00

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Solution

The fourth proportional to 197.42, 296.01 and 140.00 is: 209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.42 : 296.01 = 140.00 : x
  2. Step 2: Convert to fraction form
    197.42/296.01 = 140.00/x
  3. Step 3: Cross multiply
    197.42x = 296.01 × 140.00
  4. Step 4: Simplify right side
    197.42x = 41,439.92
  5. Step 5: Solve for x
    x = 41,439.92/197.42
  6. Step 6: Final answer
    x = 209.91

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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.