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Finding the Fourth Proportional to 192.96, 266.78 and 163.80

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Solution

The fourth proportional to 192.96, 266.78 and 163.80 is: 226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.96 : 266.78 = 163.80 : x
  2. Step 2: Convert to fraction form
    192.96/266.78 = 163.80/x
  3. Step 3: Cross multiply
    192.96x = 266.78 × 163.80
  4. Step 4: Simplify right side
    192.96x = 43,698.56
  5. Step 5: Solve for x
    x = 43,698.56/192.96
  6. Step 6: Final answer
    x = 226.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.