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Finding the Fourth Proportional to 268.12, 401.82 and 232.12

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Solution

The fourth proportional to 268.12, 401.82 and 232.12 is: 347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.12 : 401.82 = 232.12 : x
  2. Step 2: Convert to fraction form
    268.12/401.82 = 232.12/x
  3. Step 3: Cross multiply
    268.12x = 401.82 × 232.12
  4. Step 4: Simplify right side
    268.12x = 93,270.46
  5. Step 5: Solve for x
    x = 93,270.46/268.12
  6. Step 6: Final answer
    x = 347.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.