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Finding the Fourth Proportional to 239.01, 329.13 and 165.21

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Solution

The fourth proportional to 239.01, 329.13 and 165.21 is: 227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.01 : 329.13 = 165.21 : x
  2. Step 2: Convert to fraction form
    239.01/329.13 = 165.21/x
  3. Step 3: Cross multiply
    239.01x = 329.13 × 165.21
  4. Step 4: Simplify right side
    239.01x = 54,375.57
  5. Step 5: Solve for x
    x = 54,375.57/239.01
  6. Step 6: Final answer
    x = 227.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.