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Finding the Fourth Proportional to 273, 376.74 and 181

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Solution

The fourth proportional to 273, 376.74 and 181 is: 249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    273 : 376.74 = 181 : x
  2. Step 2: Convert to fraction form
    273/376.74 = 181/x
  3. Step 3: Cross multiply
    273x = 376.74 × 181
  4. Step 4: Simplify right side
    273x = 68,189.94
  5. Step 5: Solve for x
    x = 68,189.94/273
  6. Step 6: Final answer
    x = 249.78

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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.