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Finding the Fourth Proportional to 219.83, 329.13 and 111.08

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Solution

The fourth proportional to 219.83, 329.13 and 111.08 is: 166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.83 : 329.13 = 111.08 : x
  2. Step 2: Convert to fraction form
    219.83/329.13 = 111.08/x
  3. Step 3: Cross multiply
    219.83x = 329.13 × 111.08
  4. Step 4: Simplify right side
    219.83x = 36,560.58
  5. Step 5: Solve for x
    x = 36,560.58/219.83
  6. Step 6: Final answer
    x = 166.32

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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.