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Finding the Fourth Proportional to 371.14, 512 and 240.20

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Solution

The fourth proportional to 371.14, 512 and 240.20 is: 331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.14 : 512 = 240.20 : x
  2. Step 2: Convert to fraction form
    371.14/512 = 240.20/x
  3. Step 3: Cross multiply
    371.14x = 512 × 240.20
  4. Step 4: Simplify right side
    371.14x = 122,982.40
  5. Step 5: Solve for x
    x = 122,982.40/371.14
  6. Step 6: Final answer
    x = 331.36

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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.