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Finding the Fourth Proportional to 371.07, 512.03 and 213.68

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Solution

The fourth proportional to 371.07, 512.03 and 213.68 is: 294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.07 : 512.03 = 213.68 : x
  2. Step 2: Convert to fraction form
    371.07/512.03 = 213.68/x
  3. Step 3: Cross multiply
    371.07x = 512.03 × 213.68
  4. Step 4: Simplify right side
    371.07x = 109,410.34
  5. Step 5: Solve for x
    x = 109,410.34/371.07
  6. Step 6: Final answer
    x = 294.85

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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.