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Finding the Fourth Proportional to 276.16, 381.11 and 164.08

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Solution

The fourth proportional to 276.16, 381.11 and 164.08 is: 226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.16 : 381.11 = 164.08 : x
  2. Step 2: Convert to fraction form
    276.16/381.11 = 164.08/x
  3. Step 3: Cross multiply
    276.16x = 381.11 × 164.08
  4. Step 4: Simplify right side
    276.16x = 62,530.04
  5. Step 5: Solve for x
    x = 62,530.04/276.16
  6. Step 6: Final answer
    x = 226.43

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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.