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Finding the Fourth Proportional to 276.89, 382.09 and 160.49

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Solution

The fourth proportional to 276.89, 382.09 and 160.49 is: 221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.89 : 382.09 = 160.49 : x
  2. Step 2: Convert to fraction form
    276.89/382.09 = 160.49/x
  3. Step 3: Cross multiply
    276.89x = 382.09 × 160.49
  4. Step 4: Simplify right side
    276.89x = 61,321.62
  5. Step 5: Solve for x
    x = 61,321.62/276.89
  6. Step 6: Final answer
    x = 221.47

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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.