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Finding the Fourth Proportional to 268.71, 400.80 and 239.82

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Solution

The fourth proportional to 268.71, 400.80 and 239.82 is: 357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.71 : 400.80 = 239.82 : x
  2. Step 2: Convert to fraction form
    268.71/400.80 = 239.82/x
  3. Step 3: Cross multiply
    268.71x = 400.80 × 239.82
  4. Step 4: Simplify right side
    268.71x = 96,119.86
  5. Step 5: Solve for x
    x = 96,119.86/268.71
  6. Step 6: Final answer
    x = 357.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.