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Finding the Fourth Proportional to 196.02, 293.76 and 163.73

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Solution

The fourth proportional to 196.02, 293.76 and 163.73 is: 245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.02 : 293.76 = 163.73 : x
  2. Step 2: Convert to fraction form
    196.02/293.76 = 163.73/x
  3. Step 3: Cross multiply
    196.02x = 293.76 × 163.73
  4. Step 4: Simplify right side
    196.02x = 48,098.06
  5. Step 5: Solve for x
    x = 48,098.06/196.02
  6. Step 6: Final answer
    x = 245.37

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Why These Related Problems?

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