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Finding the Fourth Proportional to 197.68, 296.86 and 181.65

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Solution

The fourth proportional to 197.68, 296.86 and 181.65 is: 272.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.68 : 296.86 = 181.65 : x
  2. Step 2: Convert to fraction form
    197.68/296.86 = 181.65/x
  3. Step 3: Cross multiply
    197.68x = 296.86 × 181.65
  4. Step 4: Simplify right side
    197.68x = 53,924.62
  5. Step 5: Solve for x
    x = 53,924.62/197.68
  6. Step 6: Final answer
    x = 272.79

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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.