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Finding the Fourth Proportional to 371.11, 512.13 and 213.74

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Solution

The fourth proportional to 371.11, 512.13 and 213.74 is: 294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.11 : 512.13 = 213.74 : x
  2. Step 2: Convert to fraction form
    371.11/512.13 = 213.74/x
  3. Step 3: Cross multiply
    371.11x = 512.13 × 213.74
  4. Step 4: Simplify right side
    371.11x = 109,462.67
  5. Step 5: Solve for x
    x = 109,462.67/371.11
  6. Step 6: Final answer
    x = 294.96

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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.