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Finding the Fourth Proportional to 371.31, 512.36 and 205.52

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Solution

The fourth proportional to 371.31, 512.36 and 205.52 is: 283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.31 : 512.36 = 205.52 : x
  2. Step 2: Convert to fraction form
    371.31/512.36 = 205.52/x
  3. Step 3: Cross multiply
    371.31x = 512.36 × 205.52
  4. Step 4: Simplify right side
    371.31x = 105,298.56
  5. Step 5: Solve for x
    x = 105,298.56/371.31
  6. Step 6: Final answer
    x = 283.59

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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.