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Finding the Fourth Proportional to 196.02, 270.20 and 122.18

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Solution

The fourth proportional to 196.02, 270.20 and 122.18 is: 168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.02 : 270.20 = 122.18 : x
  2. Step 2: Convert to fraction form
    196.02/270.20 = 122.18/x
  3. Step 3: Cross multiply
    196.02x = 270.20 × 122.18
  4. Step 4: Simplify right side
    196.02x = 33,013.04
  5. Step 5: Solve for x
    x = 33,013.04/196.02
  6. Step 6: Final answer
    x = 168.42

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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.