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Finding the Fourth Proportional to 196.62, 295.14 and 119.78

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Solution

The fourth proportional to 196.62, 295.14 and 119.78 is: 179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.62 : 295.14 = 119.78 : x
  2. Step 2: Convert to fraction form
    196.62/295.14 = 119.78/x
  3. Step 3: Cross multiply
    196.62x = 295.14 × 119.78
  4. Step 4: Simplify right side
    196.62x = 35,351.87
  5. Step 5: Solve for x
    x = 35,351.87/196.62
  6. Step 6: Final answer
    x = 179.80

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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.