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Finding the Fourth Proportional to 326.40, 489.67 and 109.97

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Solution

The fourth proportional to 326.40, 489.67 and 109.97 is: 164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.40 : 489.67 = 109.97 : x
  2. Step 2: Convert to fraction form
    326.40/489.67 = 109.97/x
  3. Step 3: Cross multiply
    326.40x = 489.67 × 109.97
  4. Step 4: Simplify right side
    326.40x = 53,848.12
  5. Step 5: Solve for x
    x = 53,848.12/326.40
  6. Step 6: Final answer
    x = 164.98

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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.