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Finding the Fourth Proportional to 268.82, 370.77 and 206.52

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Solution

The fourth proportional to 268.82, 370.77 and 206.52 is: 284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.82 : 370.77 = 206.52 : x
  2. Step 2: Convert to fraction form
    268.82/370.77 = 206.52/x
  3. Step 3: Cross multiply
    268.82x = 370.77 × 206.52
  4. Step 4: Simplify right side
    268.82x = 76,571.42
  5. Step 5: Solve for x
    x = 76,571.42/268.82
  6. Step 6: Final answer
    x = 284.85

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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.