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Finding the Fourth Proportional to 197.92, 296.83 and 116.72

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Solution

The fourth proportional to 197.92, 296.83 and 116.72 is: 175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.92 : 296.83 = 116.72 : x
  2. Step 2: Convert to fraction form
    197.92/296.83 = 116.72/x
  3. Step 3: Cross multiply
    197.92x = 296.83 × 116.72
  4. Step 4: Simplify right side
    197.92x = 34,646.00
  5. Step 5: Solve for x
    x = 34,646.00/197.92
  6. Step 6: Final answer
    x = 175.05

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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.