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Finding the Fourth Proportional to 219.98, 329.87 and 110.23

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Solution

The fourth proportional to 219.98, 329.87 and 110.23 is: 165.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.98 : 329.87 = 110.23 : x
  2. Step 2: Convert to fraction form
    219.98/329.87 = 110.23/x
  3. Step 3: Cross multiply
    219.98x = 329.87 × 110.23
  4. Step 4: Simplify right side
    219.98x = 36,361.02
  5. Step 5: Solve for x
    x = 36,361.02/219.98
  6. Step 6: Final answer
    x = 165.29

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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.