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Finding the Fourth Proportional to 276.40, 382.08 and 221.68

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Solution

The fourth proportional to 276.40, 382.08 and 221.68 is: 306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.40 : 382.08 = 221.68 : x
  2. Step 2: Convert to fraction form
    276.40/382.08 = 221.68/x
  3. Step 3: Cross multiply
    276.40x = 382.08 × 221.68
  4. Step 4: Simplify right side
    276.40x = 84,699.49
  5. Step 5: Solve for x
    x = 84,699.49/276.40
  6. Step 6: Final answer
    x = 306.44

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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.