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Finding the Fourth Proportional to 192.26, 287.12 and 181.73

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Solution

The fourth proportional to 192.26, 287.12 and 181.73 is: 271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.26 : 287.12 = 181.73 : x
  2. Step 2: Convert to fraction form
    192.26/287.12 = 181.73/x
  3. Step 3: Cross multiply
    192.26x = 287.12 × 181.73
  4. Step 4: Simplify right side
    192.26x = 52,175.97
  5. Step 5: Solve for x
    x = 52,175.97/192.26
  6. Step 6: Final answer
    x = 271.39

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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.