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Finding the Fourth Proportional to 273.67, 377.41 and 180.33

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Solution

The fourth proportional to 273.67, 377.41 and 180.33 is: 248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.67 : 377.41 = 180.33 : x
  2. Step 2: Convert to fraction form
    273.67/377.41 = 180.33/x
  3. Step 3: Cross multiply
    273.67x = 377.41 × 180.33
  4. Step 4: Simplify right side
    273.67x = 68,056.82
  5. Step 5: Solve for x
    x = 68,056.82/273.67
  6. Step 6: Final answer
    x = 248.68

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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.