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Finding the Fourth Proportional to 326.14, 489.24 and 120.69

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Solution

The fourth proportional to 326.14, 489.24 and 120.69 is: 181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.14 : 489.24 = 120.69 : x
  2. Step 2: Convert to fraction form
    326.14/489.24 = 120.69/x
  3. Step 3: Cross multiply
    326.14x = 489.24 × 120.69
  4. Step 4: Simplify right side
    326.14x = 59,046.38
  5. Step 5: Solve for x
    x = 59,046.38/326.14
  6. Step 6: Final answer
    x = 181.04

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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.