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Finding the Fourth Proportional to 273.74, 377.78 and 180.47

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Solution

The fourth proportional to 273.74, 377.78 and 180.47 is: 249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.74 : 377.78 = 180.47 : x
  2. Step 2: Convert to fraction form
    273.74/377.78 = 180.47/x
  3. Step 3: Cross multiply
    273.74x = 377.78 × 180.47
  4. Step 4: Simplify right side
    273.74x = 68,175.17
  5. Step 5: Solve for x
    x = 68,175.17/273.74
  6. Step 6: Final answer
    x = 249.06

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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.