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Finding the Fourth Proportional to 219.93, 329.86 and 133.82

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Solution

The fourth proportional to 219.93, 329.86 and 133.82 is: 200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.93 : 329.86 = 133.82 : x
  2. Step 2: Convert to fraction form
    219.93/329.86 = 133.82/x
  3. Step 3: Cross multiply
    219.93x = 329.86 × 133.82
  4. Step 4: Simplify right side
    219.93x = 44,141.93
  5. Step 5: Solve for x
    x = 44,141.93/219.93
  6. Step 6: Final answer
    x = 200.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.