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Finding the Fourth Proportional to 263.88, 363.71 and 180.84

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Solution

The fourth proportional to 263.88, 363.71 and 180.84 is: 249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.88 : 363.71 = 180.84 : x
  2. Step 2: Convert to fraction form
    263.88/363.71 = 180.84/x
  3. Step 3: Cross multiply
    263.88x = 363.71 × 180.84
  4. Step 4: Simplify right side
    263.88x = 65,772.41
  5. Step 5: Solve for x
    x = 65,772.41/263.88
  6. Step 6: Final answer
    x = 249.25

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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.