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Finding the Fourth Proportional to 325.25, 487.94 and 119.83

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Solution

The fourth proportional to 325.25, 487.94 and 119.83 is: 179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.25 : 487.94 = 119.83 : x
  2. Step 2: Convert to fraction form
    325.25/487.94 = 119.83/x
  3. Step 3: Cross multiply
    325.25x = 487.94 × 119.83
  4. Step 4: Simplify right side
    325.25x = 58,469.85
  5. Step 5: Solve for x
    x = 58,469.85/325.25
  6. Step 6: Final answer
    x = 179.77

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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.