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Finding the Fourth Proportional to 197.73, 296.19 and 129.06

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Solution

The fourth proportional to 197.73, 296.19 and 129.06 is: 193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.73 : 296.19 = 129.06 : x
  2. Step 2: Convert to fraction form
    197.73/296.19 = 129.06/x
  3. Step 3: Cross multiply
    197.73x = 296.19 × 129.06
  4. Step 4: Simplify right side
    197.73x = 38,226.28
  5. Step 5: Solve for x
    x = 38,226.28/197.73
  6. Step 6: Final answer
    x = 193.33

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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.