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Finding the Fourth Proportional to 493.26, 739.97 and 180.93

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Solution

The fourth proportional to 493.26, 739.97 and 180.93 is: 271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.26 : 739.97 = 180.93 : x
  2. Step 2: Convert to fraction form
    493.26/739.97 = 180.93/x
  3. Step 3: Cross multiply
    493.26x = 739.97 × 180.93
  4. Step 4: Simplify right side
    493.26x = 133,879.07
  5. Step 5: Solve for x
    x = 133,879.07/493.26
  6. Step 6: Final answer
    x = 271.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.