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Finding the Fourth Proportional to 276.40, 381.72 and 211.12

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Solution

The fourth proportional to 276.40, 381.72 and 211.12 is: 291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.40 : 381.72 = 211.12 : x
  2. Step 2: Convert to fraction form
    276.40/381.72 = 211.12/x
  3. Step 3: Cross multiply
    276.40x = 381.72 × 211.12
  4. Step 4: Simplify right side
    276.40x = 80,588.73
  5. Step 5: Solve for x
    x = 80,588.73/276.40
  6. Step 6: Final answer
    x = 291.57

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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.