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Finding the Fourth Proportional to 218.23, 327.26 and 109.95

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Solution

The fourth proportional to 218.23, 327.26 and 109.95 is: 164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.23 : 327.26 = 109.95 : x
  2. Step 2: Convert to fraction form
    218.23/327.26 = 109.95/x
  3. Step 3: Cross multiply
    218.23x = 327.26 × 109.95
  4. Step 4: Simplify right side
    218.23x = 35,980.88
  5. Step 5: Solve for x
    x = 35,980.88/218.23
  6. Step 6: Final answer
    x = 164.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.