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Finding the Fourth Proportional to 263.72, 364.24 and 180.69

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Solution

The fourth proportional to 263.72, 364.24 and 180.69 is: 249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.72 : 364.24 = 180.69 : x
  2. Step 2: Convert to fraction form
    263.72/364.24 = 180.69/x
  3. Step 3: Cross multiply
    263.72x = 364.24 × 180.69
  4. Step 4: Simplify right side
    263.72x = 65,814.53
  5. Step 5: Solve for x
    x = 65,814.53/263.72
  6. Step 6: Final answer
    x = 249.56

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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.