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Finding the Fourth Proportional to 371.06, 512.02 and 213.70

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Solution

The fourth proportional to 371.06, 512.02 and 213.70 is: 294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.06 : 512.02 = 213.70 : x
  2. Step 2: Convert to fraction form
    371.06/512.02 = 213.70/x
  3. Step 3: Cross multiply
    371.06x = 512.02 × 213.70
  4. Step 4: Simplify right side
    371.06x = 109,418.67
  5. Step 5: Solve for x
    x = 109,418.67/371.06
  6. Step 6: Final answer
    x = 294.88

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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.