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Finding the Fourth Proportional to 381.09, 525.91 and 206.44

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Solution

The fourth proportional to 381.09, 525.91 and 206.44 is: 284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.09 : 525.91 = 206.44 : x
  2. Step 2: Convert to fraction form
    381.09/525.91 = 206.44/x
  3. Step 3: Cross multiply
    381.09x = 525.91 × 206.44
  4. Step 4: Simplify right side
    381.09x = 108,567.42
  5. Step 5: Solve for x
    x = 108,567.42/381.09
  6. Step 6: Final answer
    x = 284.88

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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.