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Finding the Fourth Proportional to 219.68, 329.50 and 111.42

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Solution

The fourth proportional to 219.68, 329.50 and 111.42 is: 167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.68 : 329.50 = 111.42 : x
  2. Step 2: Convert to fraction form
    219.68/329.50 = 111.42/x
  3. Step 3: Cross multiply
    219.68x = 329.50 × 111.42
  4. Step 4: Simplify right side
    219.68x = 36,712.89
  5. Step 5: Solve for x
    x = 36,712.89/219.68
  6. Step 6: Final answer
    x = 167.12

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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.