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Finding the Fourth Proportional to 268.31, 369.66 and 219.11

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Solution

The fourth proportional to 268.31, 369.66 and 219.11 is: 301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.31 : 369.66 = 219.11 : x
  2. Step 2: Convert to fraction form
    268.31/369.66 = 219.11/x
  3. Step 3: Cross multiply
    268.31x = 369.66 × 219.11
  4. Step 4: Simplify right side
    268.31x = 80,995.18
  5. Step 5: Solve for x
    x = 80,995.18/268.31
  6. Step 6: Final answer
    x = 301.87

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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.