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Finding the Fourth Proportional to 165.36, 229.78 and 163.32

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Solution

The fourth proportional to 165.36, 229.78 and 163.32 is: 226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.36 : 229.78 = 163.32 : x
  2. Step 2: Convert to fraction form
    165.36/229.78 = 163.32/x
  3. Step 3: Cross multiply
    165.36x = 229.78 × 163.32
  4. Step 4: Simplify right side
    165.36x = 37,527.67
  5. Step 5: Solve for x
    x = 37,527.67/165.36
  6. Step 6: Final answer
    x = 226.95

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.