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Finding the Fourth Proportional to 371.26, 557.09 and 140.31

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Solution

The fourth proportional to 371.26, 557.09 and 140.31 is: 210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.26 : 557.09 = 140.31 : x
  2. Step 2: Convert to fraction form
    371.26/557.09 = 140.31/x
  3. Step 3: Cross multiply
    371.26x = 557.09 × 140.31
  4. Step 4: Simplify right side
    371.26x = 78,164.60
  5. Step 5: Solve for x
    x = 78,164.60/371.26
  6. Step 6: Final answer
    x = 210.54

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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.