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Finding the Fourth Proportional to 196.29, 270.82 and 121.59

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Solution

The fourth proportional to 196.29, 270.82 and 121.59 is: 167.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.29 : 270.82 = 121.59 : x
  2. Step 2: Convert to fraction form
    196.29/270.82 = 121.59/x
  3. Step 3: Cross multiply
    196.29x = 270.82 × 121.59
  4. Step 4: Simplify right side
    196.29x = 32,929.00
  5. Step 5: Solve for x
    x = 32,929.00/196.29
  6. Step 6: Final answer
    x = 167.76

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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.