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Finding the Fourth Proportional to 268.34, 400.66 and 219.53

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Solution

The fourth proportional to 268.34, 400.66 and 219.53 is: 327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.34 : 400.66 = 219.53 : x
  2. Step 2: Convert to fraction form
    268.34/400.66 = 219.53/x
  3. Step 3: Cross multiply
    268.34x = 400.66 × 219.53
  4. Step 4: Simplify right side
    268.34x = 87,957.34
  5. Step 5: Solve for x
    x = 87,957.34/268.34
  6. Step 6: Final answer
    x = 327.79

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