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Finding the Fourth Proportional to 268.30, 369.73 and 206.13

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Solution

The fourth proportional to 268.30, 369.73 and 206.13 is: 284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.30 : 369.73 = 206.13 : x
  2. Step 2: Convert to fraction form
    268.30/369.73 = 206.13/x
  3. Step 3: Cross multiply
    268.30x = 369.73 × 206.13
  4. Step 4: Simplify right side
    268.30x = 76,212.44
  5. Step 5: Solve for x
    x = 76,212.44/268.30
  6. Step 6: Final answer
    x = 284.06

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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.