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Finding the Fourth Proportional to 192.27, 263.35 and 181.05

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Solution

The fourth proportional to 192.27, 263.35 and 181.05 is: 247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.27 : 263.35 = 181.05 : x
  2. Step 2: Convert to fraction form
    192.27/263.35 = 181.05/x
  3. Step 3: Cross multiply
    192.27x = 263.35 × 181.05
  4. Step 4: Simplify right side
    192.27x = 47,678.61
  5. Step 5: Solve for x
    x = 47,678.61/192.27
  6. Step 6: Final answer
    x = 247.97

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