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Finding the Fourth Proportional to 327.33, 491.07 and 144.68

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Solution

The fourth proportional to 327.33, 491.07 and 144.68 is: 217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.33 : 491.07 = 144.68 : x
  2. Step 2: Convert to fraction form
    327.33/491.07 = 144.68/x
  3. Step 3: Cross multiply
    327.33x = 491.07 × 144.68
  4. Step 4: Simplify right side
    327.33x = 71,045.55
  5. Step 5: Solve for x
    x = 71,045.55/327.33
  6. Step 6: Final answer
    x = 217.05

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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.