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Finding the Fourth Proportional to 371.20, 512.16 and 213.76

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Solution

The fourth proportional to 371.20, 512.16 and 213.76 is: 294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.20 : 512.16 = 213.76 : x
  2. Step 2: Convert to fraction form
    371.20/512.16 = 213.76/x
  3. Step 3: Cross multiply
    371.20x = 512.16 × 213.76
  4. Step 4: Simplify right side
    371.20x = 109,479.32
  5. Step 5: Solve for x
    x = 109,479.32/371.20
  6. Step 6: Final answer
    x = 294.93

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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.