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Finding the Fourth Proportional to 273.41, 409.91 and 141.31

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Solution

The fourth proportional to 273.41, 409.91 and 141.31 is: 211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.41 : 409.91 = 141.31 : x
  2. Step 2: Convert to fraction form
    273.41/409.91 = 141.31/x
  3. Step 3: Cross multiply
    273.41x = 409.91 × 141.31
  4. Step 4: Simplify right side
    273.41x = 57,924.38
  5. Step 5: Solve for x
    x = 57,924.38/273.41
  6. Step 6: Final answer
    x = 211.86

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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.