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Finding the Fourth Proportional to 197.68, 296.10 and 129.03

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Solution

The fourth proportional to 197.68, 296.10 and 129.03 is: 193.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.68 : 296.10 = 129.03 : x
  2. Step 2: Convert to fraction form
    197.68/296.10 = 129.03/x
  3. Step 3: Cross multiply
    197.68x = 296.10 × 129.03
  4. Step 4: Simplify right side
    197.68x = 38,205.78
  5. Step 5: Solve for x
    x = 38,205.78/197.68
  6. Step 6: Final answer
    x = 193.27

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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.