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Finding the Fourth Proportional to 196.56, 295.02 and 119.61

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Solution

The fourth proportional to 196.56, 295.02 and 119.61 is: 179.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.56 : 295.02 = 119.61 : x
  2. Step 2: Convert to fraction form
    196.56/295.02 = 119.61/x
  3. Step 3: Cross multiply
    196.56x = 295.02 × 119.61
  4. Step 4: Simplify right side
    196.56x = 35,287.34
  5. Step 5: Solve for x
    x = 35,287.34/196.56
  6. Step 6: Final answer
    x = 179.52

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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.