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Finding the Fourth Proportional to 218.58, 327.93 and 110.43

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Solution

The fourth proportional to 218.58, 327.93 and 110.43 is: 165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.58 : 327.93 = 110.43 : x
  2. Step 2: Convert to fraction form
    218.58/327.93 = 110.43/x
  3. Step 3: Cross multiply
    218.58x = 327.93 × 110.43
  4. Step 4: Simplify right side
    218.58x = 36,213.31
  5. Step 5: Solve for x
    x = 36,213.31/218.58
  6. Step 6: Final answer
    x = 165.68

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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.