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Finding the Fourth Proportional to 263.49, 363.84 and 180.57

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Solution

The fourth proportional to 263.49, 363.84 and 180.57 is: 249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.49 : 363.84 = 180.57 : x
  2. Step 2: Convert to fraction form
    263.49/363.84 = 180.57/x
  3. Step 3: Cross multiply
    263.49x = 363.84 × 180.57
  4. Step 4: Simplify right side
    263.49x = 65,698.59
  5. Step 5: Solve for x
    x = 65,698.59/263.49
  6. Step 6: Final answer
    x = 249.34

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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.