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Finding the Fourth Proportional to 371.75, 512.96 and 205.94

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Solution

The fourth proportional to 371.75, 512.96 and 205.94 is: 284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.75 : 512.96 = 205.94 : x
  2. Step 2: Convert to fraction form
    371.75/512.96 = 205.94/x
  3. Step 3: Cross multiply
    371.75x = 512.96 × 205.94
  4. Step 4: Simplify right side
    371.75x = 105,639.24
  5. Step 5: Solve for x
    x = 105,639.24/371.75
  6. Step 6: Final answer
    x = 284.17

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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.