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Finding the Fourth Proportional to 218.94, 329.01 and 110.80

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Solution

The fourth proportional to 218.94, 329.01 and 110.80 is: 166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.94 : 329.01 = 110.80 : x
  2. Step 2: Convert to fraction form
    218.94/329.01 = 110.80/x
  3. Step 3: Cross multiply
    218.94x = 329.01 × 110.80
  4. Step 4: Simplify right side
    218.94x = 36,454.93
  5. Step 5: Solve for x
    x = 36,454.93/218.94
  6. Step 6: Final answer
    x = 166.51

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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.