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Finding the Fourth Proportional to 196.62, 270.91 and 154.29

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Solution

The fourth proportional to 196.62, 270.91 and 154.29 is: 212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.62 : 270.91 = 154.29 : x
  2. Step 2: Convert to fraction form
    196.62/270.91 = 154.29/x
  3. Step 3: Cross multiply
    196.62x = 270.91 × 154.29
  4. Step 4: Simplify right side
    196.62x = 41,798.70
  5. Step 5: Solve for x
    x = 41,798.70/196.62
  6. Step 6: Final answer
    x = 212.59

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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.