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Finding the Fourth Proportional to 276.64, 381.78 and 166.24

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Solution

The fourth proportional to 276.64, 381.78 and 166.24 is: 229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.64 : 381.78 = 166.24 : x
  2. Step 2: Convert to fraction form
    276.64/381.78 = 166.24/x
  3. Step 3: Cross multiply
    276.64x = 381.78 × 166.24
  4. Step 4: Simplify right side
    276.64x = 63,467.11
  5. Step 5: Solve for x
    x = 63,467.11/276.64
  6. Step 6: Final answer
    x = 229.42

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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.