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Finding the Fourth Proportional to 326.08, 488.83 and 120.65

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Solution

The fourth proportional to 326.08, 488.83 and 120.65 is: 180.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.08 : 488.83 = 120.65 : x
  2. Step 2: Convert to fraction form
    326.08/488.83 = 120.65/x
  3. Step 3: Cross multiply
    326.08x = 488.83 × 120.65
  4. Step 4: Simplify right side
    326.08x = 58,975.08
  5. Step 5: Solve for x
    x = 58,975.08/326.08
  6. Step 6: Final answer
    x = 180.86

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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.