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Finding the Fourth Proportional to 276.12, 380.94 and 172.44

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Solution

The fourth proportional to 276.12, 380.94 and 172.44 is: 237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.12 : 380.94 = 172.44 : x
  2. Step 2: Convert to fraction form
    276.12/380.94 = 172.44/x
  3. Step 3: Cross multiply
    276.12x = 380.94 × 172.44
  4. Step 4: Simplify right side
    276.12x = 65,689.29
  5. Step 5: Solve for x
    x = 65,689.29/276.12
  6. Step 6: Final answer
    x = 237.90

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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.