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Finding the Fourth Proportional to 197.91, 296.14 and 120.93

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Solution

The fourth proportional to 197.91, 296.14 and 120.93 is: 180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.91 : 296.14 = 120.93 : x
  2. Step 2: Convert to fraction form
    197.91/296.14 = 120.93/x
  3. Step 3: Cross multiply
    197.91x = 296.14 × 120.93
  4. Step 4: Simplify right side
    197.91x = 35,812.21
  5. Step 5: Solve for x
    x = 35,812.21/197.91
  6. Step 6: Final answer
    x = 180.95

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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.