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Finding the Fourth Proportional to 235.44, 324.90 and 161.73

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Solution

The fourth proportional to 235.44, 324.90 and 161.73 is: 223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.44 : 324.90 = 161.73 : x
  2. Step 2: Convert to fraction form
    235.44/324.90 = 161.73/x
  3. Step 3: Cross multiply
    235.44x = 324.90 × 161.73
  4. Step 4: Simplify right side
    235.44x = 52,546.08
  5. Step 5: Solve for x
    x = 52,546.08/235.44
  6. Step 6: Final answer
    x = 223.18

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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.