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Finding the Fourth Proportional to 276.69, 381.86 and 166.22

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Solution

The fourth proportional to 276.69, 381.86 and 166.22 is: 229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.69 : 381.86 = 166.22 : x
  2. Step 2: Convert to fraction form
    276.69/381.86 = 166.22/x
  3. Step 3: Cross multiply
    276.69x = 381.86 × 166.22
  4. Step 4: Simplify right side
    276.69x = 63,472.77
  5. Step 5: Solve for x
    x = 63,472.77/276.69
  6. Step 6: Final answer
    x = 229.40

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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.