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Finding the Fourth Proportional to 196.02, 270.18 and 149.20

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Solution

The fourth proportional to 196.02, 270.18 and 149.20 is: 205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.02 : 270.18 = 149.20 : x
  2. Step 2: Convert to fraction form
    196.02/270.18 = 149.20/x
  3. Step 3: Cross multiply
    196.02x = 270.18 × 149.20
  4. Step 4: Simplify right side
    196.02x = 40,310.86
  5. Step 5: Solve for x
    x = 40,310.86/196.02
  6. Step 6: Final answer
    x = 205.65

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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.