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Finding the Fourth Proportional to 192.22, 288.16 and 83.92

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Solution

The fourth proportional to 192.22, 288.16 and 83.92 is: 125.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.22 : 288.16 = 83.92 : x
  2. Step 2: Convert to fraction form
    192.22/288.16 = 83.92/x
  3. Step 3: Cross multiply
    192.22x = 288.16 × 83.92
  4. Step 4: Simplify right side
    192.22x = 24,181.97
  5. Step 5: Solve for x
    x = 24,181.97/192.22
  6. Step 6: Final answer
    x = 125.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.