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Finding the Fourth Proportional to 218.46, 327.27 and 102.75

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Solution

The fourth proportional to 218.46, 327.27 and 102.75 is: 153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.46 : 327.27 = 102.75 : x
  2. Step 2: Convert to fraction form
    218.46/327.27 = 102.75/x
  3. Step 3: Cross multiply
    218.46x = 327.27 × 102.75
  4. Step 4: Simplify right side
    218.46x = 33,626.99
  5. Step 5: Solve for x
    x = 33,626.99/218.46
  6. Step 6: Final answer
    x = 153.93

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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.