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Finding the Fourth Proportional to 273.69, 377.45 and 180.41

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Solution

The fourth proportional to 273.69, 377.45 and 180.41 is: 248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.69 : 377.45 = 180.41 : x
  2. Step 2: Convert to fraction form
    273.69/377.45 = 180.41/x
  3. Step 3: Cross multiply
    273.69x = 377.45 × 180.41
  4. Step 4: Simplify right side
    273.69x = 68,092.97
  5. Step 5: Solve for x
    x = 68,092.97/273.69
  6. Step 6: Final answer
    x = 248.80

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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.