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Finding the Fourth Proportional to 326.57, 489.98 and 182.25

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Solution

The fourth proportional to 326.57, 489.98 and 182.25 is: 273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.57 : 489.98 = 182.25 : x
  2. Step 2: Convert to fraction form
    326.57/489.98 = 182.25/x
  3. Step 3: Cross multiply
    326.57x = 489.98 × 182.25
  4. Step 4: Simplify right side
    326.57x = 89,299.31
  5. Step 5: Solve for x
    x = 89,299.31/326.57
  6. Step 6: Final answer
    x = 273.45

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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.