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Finding the Fourth Proportional to 196.72, 293.77 and 169.38

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Solution

The fourth proportional to 196.72, 293.77 and 169.38 is: 252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.72 : 293.77 = 169.38 : x
  2. Step 2: Convert to fraction form
    196.72/293.77 = 169.38/x
  3. Step 3: Cross multiply
    196.72x = 293.77 × 169.38
  4. Step 4: Simplify right side
    196.72x = 49,758.76
  5. Step 5: Solve for x
    x = 49,758.76/196.72
  6. Step 6: Final answer
    x = 252.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.