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Finding the Fourth Proportional to 208.62, 287.97 and 135.03

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Solution

The fourth proportional to 208.62, 287.97 and 135.03 is: 186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.62 : 287.97 = 135.03 : x
  2. Step 2: Convert to fraction form
    208.62/287.97 = 135.03/x
  3. Step 3: Cross multiply
    208.62x = 287.97 × 135.03
  4. Step 4: Simplify right side
    208.62x = 38,884.59
  5. Step 5: Solve for x
    x = 38,884.59/208.62
  6. Step 6: Final answer
    x = 186.39

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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.