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Finding the Fourth Proportional to 372.16, 513.62 and 206.37

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Solution

The fourth proportional to 372.16, 513.62 and 206.37 is: 284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.16 : 513.62 = 206.37 : x
  2. Step 2: Convert to fraction form
    372.16/513.62 = 206.37/x
  3. Step 3: Cross multiply
    372.16x = 513.62 × 206.37
  4. Step 4: Simplify right side
    372.16x = 105,995.37
  5. Step 5: Solve for x
    x = 105,995.37/372.16
  6. Step 6: Final answer
    x = 284.81

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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.