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Finding the Fourth Proportional to 326.93, 490.34 and 121.43

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Solution

The fourth proportional to 326.93, 490.34 and 121.43 is: 182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.93 : 490.34 = 121.43 : x
  2. Step 2: Convert to fraction form
    326.93/490.34 = 121.43/x
  3. Step 3: Cross multiply
    326.93x = 490.34 × 121.43
  4. Step 4: Simplify right side
    326.93x = 59,538.93
  5. Step 5: Solve for x
    x = 59,538.93/326.93
  6. Step 6: Final answer
    x = 182.12

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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.