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Finding the Fourth Proportional to 372.06, 513.36 and 216.78

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Solution

The fourth proportional to 372.06, 513.36 and 216.78 is: 299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.06 : 513.36 = 216.78 : x
  2. Step 2: Convert to fraction form
    372.06/513.36 = 216.78/x
  3. Step 3: Cross multiply
    372.06x = 513.36 × 216.78
  4. Step 4: Simplify right side
    372.06x = 111,286.18
  5. Step 5: Solve for x
    x = 111,286.18/372.06
  6. Step 6: Final answer
    x = 299.11

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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.