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Finding the Fourth Proportional to 268.82, 370.08 and 231.78

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Solution

The fourth proportional to 268.82, 370.08 and 231.78 is: 319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.82 : 370.08 = 231.78 : x
  2. Step 2: Convert to fraction form
    268.82/370.08 = 231.78/x
  3. Step 3: Cross multiply
    268.82x = 370.08 × 231.78
  4. Step 4: Simplify right side
    268.82x = 85,777.14
  5. Step 5: Solve for x
    x = 85,777.14/268.82
  6. Step 6: Final answer
    x = 319.09

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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.