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Finding the Fourth Proportional to 196.00, 270.46 and 122.29

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Solution

The fourth proportional to 196.00, 270.46 and 122.29 is: 168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.00 : 270.46 = 122.29 : x
  2. Step 2: Convert to fraction form
    196.00/270.46 = 122.29/x
  3. Step 3: Cross multiply
    196.00x = 270.46 × 122.29
  4. Step 4: Simplify right side
    196.00x = 33,073.57
  5. Step 5: Solve for x
    x = 33,073.57/196.00
  6. Step 6: Final answer
    x = 168.74

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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.