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Finding the Fourth Proportional to 196.83, 294.67 and 119.56

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Solution

The fourth proportional to 196.83, 294.67 and 119.56 is: 178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.83 : 294.67 = 119.56 : x
  2. Step 2: Convert to fraction form
    196.83/294.67 = 119.56/x
  3. Step 3: Cross multiply
    196.83x = 294.67 × 119.56
  4. Step 4: Simplify right side
    196.83x = 35,230.75
  5. Step 5: Solve for x
    x = 35,230.75/196.83
  6. Step 6: Final answer
    x = 178.99

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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.