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Finding the Fourth Proportional to 371.33, 512.43 and 205.55

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Solution

The fourth proportional to 371.33, 512.43 and 205.55 is: 283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.33 : 512.43 = 205.55 : x
  2. Step 2: Convert to fraction form
    371.33/512.43 = 205.55/x
  3. Step 3: Cross multiply
    371.33x = 512.43 × 205.55
  4. Step 4: Simplify right side
    371.33x = 105,330.12
  5. Step 5: Solve for x
    x = 105,330.12/371.33
  6. Step 6: Final answer
    x = 283.65

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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.