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Finding the Fourth Proportional to 208.39, 287.57 and 119.87

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Solution

The fourth proportional to 208.39, 287.57 and 119.87 is: 165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.39 : 287.57 = 119.87 : x
  2. Step 2: Convert to fraction form
    208.39/287.57 = 119.87/x
  3. Step 3: Cross multiply
    208.39x = 287.57 × 119.87
  4. Step 4: Simplify right side
    208.39x = 34,471.02
  5. Step 5: Solve for x
    x = 34,471.02/208.39
  6. Step 6: Final answer
    x = 165.42

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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.