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Finding the Fourth Proportional to 371.05, 512.02 and 205.25

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Solution

The fourth proportional to 371.05, 512.02 and 205.25 is: 283.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.05 : 512.02 = 205.25 : x
  2. Step 2: Convert to fraction form
    371.05/512.02 = 205.25/x
  3. Step 3: Cross multiply
    371.05x = 512.02 × 205.25
  4. Step 4: Simplify right side
    371.05x = 105,092.75
  5. Step 5: Solve for x
    x = 105,092.75/371.05
  6. Step 6: Final answer
    x = 283.23

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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.