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Finding the Fourth Proportional to 371.06, 512.09 and 213.74

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Solution

The fourth proportional to 371.06, 512.09 and 213.74 is: 294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.06 : 512.09 = 213.74 : x
  2. Step 2: Convert to fraction form
    371.06/512.09 = 213.74/x
  3. Step 3: Cross multiply
    371.06x = 512.09 × 213.74
  4. Step 4: Simplify right side
    371.06x = 109,453.21
  5. Step 5: Solve for x
    x = 109,453.21/371.06
  6. Step 6: Final answer
    x = 294.97

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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.