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Finding the Fourth Proportional to 276.98, 382.08 and 194.21

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Solution

The fourth proportional to 276.98, 382.08 and 194.21 is: 267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.98 : 382.08 = 194.21 : x
  2. Step 2: Convert to fraction form
    276.98/382.08 = 194.21/x
  3. Step 3: Cross multiply
    276.98x = 382.08 × 194.21
  4. Step 4: Simplify right side
    276.98x = 74,203.76
  5. Step 5: Solve for x
    x = 74,203.76/276.98
  6. Step 6: Final answer
    x = 267.90

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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.