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Finding the Fourth Proportional to 276.49, 381.53 and 164.46

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Solution

The fourth proportional to 276.49, 381.53 and 164.46 is: 226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.49 : 381.53 = 164.46 : x
  2. Step 2: Convert to fraction form
    276.49/381.53 = 164.46/x
  3. Step 3: Cross multiply
    276.49x = 381.53 × 164.46
  4. Step 4: Simplify right side
    276.49x = 62,743.69
  5. Step 5: Solve for x
    x = 62,743.69/276.49
  6. Step 6: Final answer
    x = 226.93

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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.