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Finding the Fourth Proportional to 381.02, 525.80 and 206.36

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Solution

The fourth proportional to 381.02, 525.80 and 206.36 is: 284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.02 : 525.80 = 206.36 : x
  2. Step 2: Convert to fraction form
    381.02/525.80 = 206.36/x
  3. Step 3: Cross multiply
    381.02x = 525.80 × 206.36
  4. Step 4: Simplify right side
    381.02x = 108,504.09
  5. Step 5: Solve for x
    x = 108,504.09/381.02
  6. Step 6: Final answer
    x = 284.78

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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.