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Finding the Fourth Proportional to 196.09, 294.23 and 119.23

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Solution

The fourth proportional to 196.09, 294.23 and 119.23 is: 178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.09 : 294.23 = 119.23 : x
  2. Step 2: Convert to fraction form
    196.09/294.23 = 119.23/x
  3. Step 3: Cross multiply
    196.09x = 294.23 × 119.23
  4. Step 4: Simplify right side
    196.09x = 35,081.04
  5. Step 5: Solve for x
    x = 35,081.04/196.09
  6. Step 6: Final answer
    x = 178.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.