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Finding the Fourth Proportional to 196.24, 269.36 and 173.92

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Solution

The fourth proportional to 196.24, 269.36 and 173.92 is: 238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.24 : 269.36 = 173.92 : x
  2. Step 2: Convert to fraction form
    196.24/269.36 = 173.92/x
  3. Step 3: Cross multiply
    196.24x = 269.36 × 173.92
  4. Step 4: Simplify right side
    196.24x = 46,847.09
  5. Step 5: Solve for x
    x = 46,847.09/196.24
  6. Step 6: Final answer
    x = 238.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.