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Finding the Fourth Proportional to 196.27, 293.87 and 144.52

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Solution

The fourth proportional to 196.27, 293.87 and 144.52 is: 216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.27 : 293.87 = 144.52 : x
  2. Step 2: Convert to fraction form
    196.27/293.87 = 144.52/x
  3. Step 3: Cross multiply
    196.27x = 293.87 × 144.52
  4. Step 4: Simplify right side
    196.27x = 42,469.72
  5. Step 5: Solve for x
    x = 42,469.72/196.27
  6. Step 6: Final answer
    x = 216.39

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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.