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Finding the Fourth Proportional to 196.43, 270.96 and 159.62

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Solution

The fourth proportional to 196.43, 270.96 and 159.62 is: 220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.43 : 270.96 = 159.62 : x
  2. Step 2: Convert to fraction form
    196.43/270.96 = 159.62/x
  3. Step 3: Cross multiply
    196.43x = 270.96 × 159.62
  4. Step 4: Simplify right side
    196.43x = 43,250.64
  5. Step 5: Solve for x
    x = 43,250.64/196.43
  6. Step 6: Final answer
    x = 220.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.