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Finding the Fourth Proportional to 326.69, 489.93 and 107.25

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Solution

The fourth proportional to 326.69, 489.93 and 107.25 is: 160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.69 : 489.93 = 107.25 : x
  2. Step 2: Convert to fraction form
    326.69/489.93 = 107.25/x
  3. Step 3: Cross multiply
    326.69x = 489.93 × 107.25
  4. Step 4: Simplify right side
    326.69x = 52,546.89
  5. Step 5: Solve for x
    x = 52,546.89/326.69
  6. Step 6: Final answer
    x = 160.85

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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.