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Finding the Fourth Proportional to 268.55, 401.84 and 216.34

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Solution

The fourth proportional to 268.55, 401.84 and 216.34 is: 323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.55 : 401.84 = 216.34 : x
  2. Step 2: Convert to fraction form
    268.55/401.84 = 216.34/x
  3. Step 3: Cross multiply
    268.55x = 401.84 × 216.34
  4. Step 4: Simplify right side
    268.55x = 86,932.79
  5. Step 5: Solve for x
    x = 86,932.79/268.55
  6. Step 6: Final answer
    x = 323.71

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