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Finding the Fourth Proportional to 263.70, 363.68 and 180.94

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Solution

The fourth proportional to 263.70, 363.68 and 180.94 is: 249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.70 : 363.68 = 180.94 : x
  2. Step 2: Convert to fraction form
    263.70/363.68 = 180.94/x
  3. Step 3: Cross multiply
    263.70x = 363.68 × 180.94
  4. Step 4: Simplify right side
    263.70x = 65,804.26
  5. Step 5: Solve for x
    x = 65,804.26/263.70
  6. Step 6: Final answer
    x = 249.54

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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.