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Finding the Fourth Proportional to 276.42, 381.47 and 164.40

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Solution

The fourth proportional to 276.42, 381.47 and 164.40 is: 226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.42 : 381.47 = 164.40 : x
  2. Step 2: Convert to fraction form
    276.42/381.47 = 164.40/x
  3. Step 3: Cross multiply
    276.42x = 381.47 × 164.40
  4. Step 4: Simplify right side
    276.42x = 62,713.67
  5. Step 5: Solve for x
    x = 62,713.67/276.42
  6. Step 6: Final answer
    x = 226.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.