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Finding the Fourth Proportional to 218.28, 300.78 and 159.96

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Solution

The fourth proportional to 218.28, 300.78 and 159.96 is: 220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.28 : 300.78 = 159.96 : x
  2. Step 2: Convert to fraction form
    218.28/300.78 = 159.96/x
  3. Step 3: Cross multiply
    218.28x = 300.78 × 159.96
  4. Step 4: Simplify right side
    218.28x = 48,112.77
  5. Step 5: Solve for x
    x = 48,112.77/218.28
  6. Step 6: Final answer
    x = 220.42

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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.