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Finding the Fourth Proportional to 329.67, 494.15 and 185.09

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Solution

The fourth proportional to 329.67, 494.15 and 185.09 is: 277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.67 : 494.15 = 185.09 : x
  2. Step 2: Convert to fraction form
    329.67/494.15 = 185.09/x
  3. Step 3: Cross multiply
    329.67x = 494.15 × 185.09
  4. Step 4: Simplify right side
    329.67x = 91,458.83
  5. Step 5: Solve for x
    x = 91,458.83/329.67
  6. Step 6: Final answer
    x = 277.43

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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.