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Finding the Fourth Proportional to 268.20, 369.70 and 226.76

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Solution

The fourth proportional to 268.20, 369.70 and 226.76 is: 312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.20 : 369.70 = 226.76 : x
  2. Step 2: Convert to fraction form
    268.20/369.70 = 226.76/x
  3. Step 3: Cross multiply
    268.20x = 369.70 × 226.76
  4. Step 4: Simplify right side
    268.20x = 83,833.17
  5. Step 5: Solve for x
    x = 83,833.17/268.20
  6. Step 6: Final answer
    x = 312.58

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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.