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Finding the Fourth Proportional to 218.70, 301.86 and 163.62

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Solution

The fourth proportional to 218.70, 301.86 and 163.62 is: 225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.70 : 301.86 = 163.62 : x
  2. Step 2: Convert to fraction form
    218.70/301.86 = 163.62/x
  3. Step 3: Cross multiply
    218.70x = 301.86 × 163.62
  4. Step 4: Simplify right side
    218.70x = 49,390.33
  5. Step 5: Solve for x
    x = 49,390.33/218.70
  6. Step 6: Final answer
    x = 225.84

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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.