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Finding the Fourth Proportional to 327.55, 491.21 and 119.26

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Solution

The fourth proportional to 327.55, 491.21 and 119.26 is: 178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.55 : 491.21 = 119.26 : x
  2. Step 2: Convert to fraction form
    327.55/491.21 = 119.26/x
  3. Step 3: Cross multiply
    327.55x = 491.21 × 119.26
  4. Step 4: Simplify right side
    327.55x = 58,581.70
  5. Step 5: Solve for x
    x = 58,581.70/327.55
  6. Step 6: Final answer
    x = 178.85

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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.