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Finding the Fourth Proportional to 270.75, 371.13 and 270.27

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Solution

The fourth proportional to 270.75, 371.13 and 270.27 is: 370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.75 : 371.13 = 270.27 : x
  2. Step 2: Convert to fraction form
    270.75/371.13 = 270.27/x
  3. Step 3: Cross multiply
    270.75x = 371.13 × 270.27
  4. Step 4: Simplify right side
    270.75x = 100,305.31
  5. Step 5: Solve for x
    x = 100,305.31/270.75
  6. Step 6: Final answer
    x = 370.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.