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Finding the Fourth Proportional to 196.31, 294.47 and 142.55

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Solution

The fourth proportional to 196.31, 294.47 and 142.55 is: 213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.31 : 294.47 = 142.55 : x
  2. Step 2: Convert to fraction form
    196.31/294.47 = 142.55/x
  3. Step 3: Cross multiply
    196.31x = 294.47 × 142.55
  4. Step 4: Simplify right side
    196.31x = 41,976.70
  5. Step 5: Solve for x
    x = 41,976.70/196.31
  6. Step 6: Final answer
    x = 213.83

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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.