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Finding the Fourth Proportional to 239.48, 329.72 and 208.80

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Solution

The fourth proportional to 239.48, 329.72 and 208.80 is: 287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.48 : 329.72 = 208.80 : x
  2. Step 2: Convert to fraction form
    239.48/329.72 = 208.80/x
  3. Step 3: Cross multiply
    239.48x = 329.72 × 208.80
  4. Step 4: Simplify right side
    239.48x = 68,845.54
  5. Step 5: Solve for x
    x = 68,845.54/239.48
  6. Step 6: Final answer
    x = 287.48

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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.