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Finding the Fourth Proportional to 192.19, 263.60 and 181.73

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Solution

The fourth proportional to 192.19, 263.60 and 181.73 is: 249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.19 : 263.60 = 181.73 : x
  2. Step 2: Convert to fraction form
    192.19/263.60 = 181.73/x
  3. Step 3: Cross multiply
    192.19x = 263.60 × 181.73
  4. Step 4: Simplify right side
    192.19x = 47,904.03
  5. Step 5: Solve for x
    x = 47,904.03/192.19
  6. Step 6: Final answer
    x = 249.25

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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.