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Finding the Fourth Proportional to 235.26, 324.82 and 161.56

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Solution

The fourth proportional to 235.26, 324.82 and 161.56 is: 223.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.26 : 324.82 = 161.56 : x
  2. Step 2: Convert to fraction form
    235.26/324.82 = 161.56/x
  3. Step 3: Cross multiply
    235.26x = 324.82 × 161.56
  4. Step 4: Simplify right side
    235.26x = 52,477.92
  5. Step 5: Solve for x
    x = 52,477.92/235.26
  6. Step 6: Final answer
    x = 223.06

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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.