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Finding the Fourth Proportional to 381, 525.78 and 206.34

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Solution

The fourth proportional to 381, 525.78 and 206.34 is: 284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381 : 525.78 = 206.34 : x
  2. Step 2: Convert to fraction form
    381/525.78 = 206.34/x
  3. Step 3: Cross multiply
    381x = 525.78 × 206.34
  4. Step 4: Simplify right side
    381x = 108,491.42
  5. Step 5: Solve for x
    x = 108,491.42/381
  6. Step 6: Final answer
    x = 284.75

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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.