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Finding the Fourth Proportional to 252.84, 349.09 and 206.33

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Solution

The fourth proportional to 252.84, 349.09 and 206.33 is: 284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.84 : 349.09 = 206.33 : x
  2. Step 2: Convert to fraction form
    252.84/349.09 = 206.33/x
  3. Step 3: Cross multiply
    252.84x = 349.09 × 206.33
  4. Step 4: Simplify right side
    252.84x = 72,027.74
  5. Step 5: Solve for x
    x = 72,027.74/252.84
  6. Step 6: Final answer
    x = 284.87

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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.