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Finding the Fourth Proportional to 208.69, 287.92 and 129.96

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Solution

The fourth proportional to 208.69, 287.92 and 129.96 is: 179.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.69 : 287.92 = 129.96 : x
  2. Step 2: Convert to fraction form
    208.69/287.92 = 129.96/x
  3. Step 3: Cross multiply
    208.69x = 287.92 × 129.96
  4. Step 4: Simplify right side
    208.69x = 37,418.25
  5. Step 5: Solve for x
    x = 37,418.25/208.69
  6. Step 6: Final answer
    x = 179.30

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