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Finding the Fourth Proportional to 326.96, 489.93 and 180.75

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Solution

The fourth proportional to 326.96, 489.93 and 180.75 is: 270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.96 : 489.93 = 180.75 : x
  2. Step 2: Convert to fraction form
    326.96/489.93 = 180.75/x
  3. Step 3: Cross multiply
    326.96x = 489.93 × 180.75
  4. Step 4: Simplify right side
    326.96x = 88,554.85
  5. Step 5: Solve for x
    x = 88,554.85/326.96
  6. Step 6: Final answer
    x = 270.84

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Why These Related Problems?

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