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Finding the Fourth Proportional to 371.62, 512.70 and 224.20

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Solution

The fourth proportional to 371.62, 512.70 and 224.20 is: 309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.62 : 512.70 = 224.20 : x
  2. Step 2: Convert to fraction form
    371.62/512.70 = 224.20/x
  3. Step 3: Cross multiply
    371.62x = 512.70 × 224.20
  4. Step 4: Simplify right side
    371.62x = 114,947.34
  5. Step 5: Solve for x
    x = 114,947.34/371.62
  6. Step 6: Final answer
    x = 309.31

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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.