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Finding the Fourth Proportional to 196.38, 293.85 and 119.28

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Solution

The fourth proportional to 196.38, 293.85 and 119.28 is: 178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.38 : 293.85 = 119.28 : x
  2. Step 2: Convert to fraction form
    196.38/293.85 = 119.28/x
  3. Step 3: Cross multiply
    196.38x = 293.85 × 119.28
  4. Step 4: Simplify right side
    196.38x = 35,050.43
  5. Step 5: Solve for x
    x = 35,050.43/196.38
  6. Step 6: Final answer
    x = 178.48

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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.