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Finding the Fourth Proportional to 273.74, 377.84 and 180.56

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Solution

The fourth proportional to 273.74, 377.84 and 180.56 is: 249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.74 : 377.84 = 180.56 : x
  2. Step 2: Convert to fraction form
    273.74/377.84 = 180.56/x
  3. Step 3: Cross multiply
    273.74x = 377.84 × 180.56
  4. Step 4: Simplify right side
    273.74x = 68,220.00
  5. Step 5: Solve for x
    x = 68,220.00/273.74
  6. Step 6: Final answer
    x = 249.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.