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Finding the Fourth Proportional to 208.26, 286.68 and 180.47

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Solution

The fourth proportional to 208.26, 286.68 and 180.47 is: 248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.26 : 286.68 = 180.47 : x
  2. Step 2: Convert to fraction form
    208.26/286.68 = 180.47/x
  3. Step 3: Cross multiply
    208.26x = 286.68 × 180.47
  4. Step 4: Simplify right side
    208.26x = 51,735.71
  5. Step 5: Solve for x
    x = 51,735.71/208.26
  6. Step 6: Final answer
    x = 248.42

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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.