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Finding the Fourth Proportional to 196.59, 294.59 and 119.59

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Solution

The fourth proportional to 196.59, 294.59 and 119.59 is: 179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.59 : 294.59 = 119.59 : x
  2. Step 2: Convert to fraction form
    196.59/294.59 = 119.59/x
  3. Step 3: Cross multiply
    196.59x = 294.59 × 119.59
  4. Step 4: Simplify right side
    196.59x = 35,230.56
  5. Step 5: Solve for x
    x = 35,230.56/196.59
  6. Step 6: Final answer
    x = 179.20

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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.