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Finding the Fourth Proportional to 196.43, 294.03 and 138.11

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Solution

The fourth proportional to 196.43, 294.03 and 138.11 is: 206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.43 : 294.03 = 138.11 : x
  2. Step 2: Convert to fraction form
    196.43/294.03 = 138.11/x
  3. Step 3: Cross multiply
    196.43x = 294.03 × 138.11
  4. Step 4: Simplify right side
    196.43x = 40,607.01
  5. Step 5: Solve for x
    x = 40,607.01/196.43
  6. Step 6: Final answer
    x = 206.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.