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Finding the Fourth Proportional to 219.93, 329.99 and 122.42

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Solution

The fourth proportional to 219.93, 329.99 and 122.42 is: 183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.93 : 329.99 = 122.42 : x
  2. Step 2: Convert to fraction form
    219.93/329.99 = 122.42/x
  3. Step 3: Cross multiply
    219.93x = 329.99 × 122.42
  4. Step 4: Simplify right side
    219.93x = 40,397.38
  5. Step 5: Solve for x
    x = 40,397.38/219.93
  6. Step 6: Final answer
    x = 183.68

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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.