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Finding the Fourth Proportional to 208.25, 286.68 and 180.46

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Solution

The fourth proportional to 208.25, 286.68 and 180.46 is: 248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.25 : 286.68 = 180.46 : x
  2. Step 2: Convert to fraction form
    208.25/286.68 = 180.46/x
  3. Step 3: Cross multiply
    208.25x = 286.68 × 180.46
  4. Step 4: Simplify right side
    208.25x = 51,733.56
  5. Step 5: Solve for x
    x = 51,733.56/208.25
  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.