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Finding the Fourth Proportional to 218.07, 326.90 and 109.73

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Solution

The fourth proportional to 218.07, 326.90 and 109.73 is: 164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.07 : 326.90 = 109.73 : x
  2. Step 2: Convert to fraction form
    218.07/326.90 = 109.73/x
  3. Step 3: Cross multiply
    218.07x = 326.90 × 109.73
  4. Step 4: Simplify right side
    218.07x = 35,871.83
  5. Step 5: Solve for x
    x = 35,871.83/218.07
  6. Step 6: Final answer
    x = 164.50

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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.