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Finding the Fourth Proportional to 268.20, 369 and 224.28

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Solution

The fourth proportional to 268.20, 369 and 224.28 is: 308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.20 : 369 = 224.28 : x
  2. Step 2: Convert to fraction form
    268.20/369 = 224.28/x
  3. Step 3: Cross multiply
    268.20x = 369 × 224.28
  4. Step 4: Simplify right side
    268.20x = 82,759.32
  5. Step 5: Solve for x
    x = 82,759.32/268.20
  6. Step 6: Final answer
    x = 308.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.