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Finding the Fourth Proportional to 196.42, 294.76 and 119.54

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Solution

The fourth proportional to 196.42, 294.76 and 119.54 is: 179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.42 : 294.76 = 119.54 : x
  2. Step 2: Convert to fraction form
    196.42/294.76 = 119.54/x
  3. Step 3: Cross multiply
    196.42x = 294.76 × 119.54
  4. Step 4: Simplify right side
    196.42x = 35,235.61
  5. Step 5: Solve for x
    x = 35,235.61/196.42
  6. Step 6: Final answer
    x = 179.39

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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.