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Finding the Fourth Proportional to 273.31, 409.74 and 181.78

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Solution

The fourth proportional to 273.31, 409.74 and 181.78 is: 272.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.31 : 409.74 = 181.78 : x
  2. Step 2: Convert to fraction form
    273.31/409.74 = 181.78/x
  3. Step 3: Cross multiply
    273.31x = 409.74 × 181.78
  4. Step 4: Simplify right side
    273.31x = 74,482.54
  5. Step 5: Solve for x
    x = 74,482.54/273.31
  6. Step 6: Final answer
    x = 272.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.