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Finding the Fourth Proportional to 381.04, 525.82 and 206.38

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Solution

The fourth proportional to 381.04, 525.82 and 206.38 is: 284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.04 : 525.82 = 206.38 : x
  2. Step 2: Convert to fraction form
    381.04/525.82 = 206.38/x
  3. Step 3: Cross multiply
    381.04x = 525.82 × 206.38
  4. Step 4: Simplify right side
    381.04x = 108,518.88
  5. Step 5: Solve for x
    x = 108,518.88/381.04
  6. Step 6: Final answer
    x = 284.80

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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.