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Finding the Fourth Proportional to 239.66, 329.96 and 208.47

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Solution

The fourth proportional to 239.66, 329.96 and 208.47 is: 287.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.66 : 329.96 = 208.47 : x
  2. Step 2: Convert to fraction form
    239.66/329.96 = 208.47/x
  3. Step 3: Cross multiply
    239.66x = 329.96 × 208.47
  4. Step 4: Simplify right side
    239.66x = 68,785.72
  5. Step 5: Solve for x
    x = 68,785.72/239.66
  6. Step 6: Final answer
    x = 287.02

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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.