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Finding the Fourth Proportional to 208.27, 287.42 and 119.75

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Solution

The fourth proportional to 208.27, 287.42 and 119.75 is: 165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.27 : 287.42 = 119.75 : x
  2. Step 2: Convert to fraction form
    208.27/287.42 = 119.75/x
  3. Step 3: Cross multiply
    208.27x = 287.42 × 119.75
  4. Step 4: Simplify right side
    208.27x = 34,418.55
  5. Step 5: Solve for x
    x = 34,418.55/208.27
  6. Step 6: Final answer
    x = 165.26

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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.