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Finding the Fourth Proportional to 223.58, 335.37 and 107.98

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Solution

The fourth proportional to 223.58, 335.37 and 107.98 is: 161.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.58 : 335.37 = 107.98 : x
  2. Step 2: Convert to fraction form
    223.58/335.37 = 107.98/x
  3. Step 3: Cross multiply
    223.58x = 335.37 × 107.98
  4. Step 4: Simplify right side
    223.58x = 36,213.25
  5. Step 5: Solve for x
    x = 36,213.25/223.58
  6. Step 6: Final answer
    x = 161.97

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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.