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Finding the Fourth Proportional to 371.15, 512.15 and 213.83

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Solution

The fourth proportional to 371.15, 512.15 and 213.83 is: 295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.15 : 512.15 = 213.83 : x
  2. Step 2: Convert to fraction form
    371.15/512.15 = 213.83/x
  3. Step 3: Cross multiply
    371.15x = 512.15 × 213.83
  4. Step 4: Simplify right side
    371.15x = 109,511.01
  5. Step 5: Solve for x
    x = 109,511.01/371.15
  6. Step 6: Final answer
    x = 295.06

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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.