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Finding the Fourth Proportional to 381.05, 525.85 and 206.39

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Solution

The fourth proportional to 381.05, 525.85 and 206.39 is: 284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.05 : 525.85 = 206.39 : x
  2. Step 2: Convert to fraction form
    381.05/525.85 = 206.39/x
  3. Step 3: Cross multiply
    381.05x = 525.85 × 206.39
  4. Step 4: Simplify right side
    381.05x = 108,530.98
  5. Step 5: Solve for x
    x = 108,530.98/381.05
  6. Step 6: Final answer
    x = 284.82

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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.