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Finding the Fourth Proportional to 276.89, 382.03 and 171.97

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Solution

The fourth proportional to 276.89, 382.03 and 171.97 is: 237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.89 : 382.03 = 171.97 : x
  2. Step 2: Convert to fraction form
    276.89/382.03 = 171.97/x
  3. Step 3: Cross multiply
    276.89x = 382.03 × 171.97
  4. Step 4: Simplify right side
    276.89x = 65,699.43
  5. Step 5: Solve for x
    x = 65,699.43/276.89
  6. Step 6: Final answer
    x = 237.28

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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.