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Finding the Fourth Proportional to 239.37, 329.46 and 204.28

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Solution

The fourth proportional to 239.37, 329.46 and 204.28 is: 281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.37 : 329.46 = 204.28 : x
  2. Step 2: Convert to fraction form
    239.37/329.46 = 204.28/x
  3. Step 3: Cross multiply
    239.37x = 329.46 × 204.28
  4. Step 4: Simplify right side
    239.37x = 67,302.09
  5. Step 5: Solve for x
    x = 67,302.09/239.37
  6. Step 6: Final answer
    x = 281.16

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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.