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Finding the Fourth Proportional to 276.71, 381.86 and 166.30

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Solution

The fourth proportional to 276.71, 381.86 and 166.30 is: 229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.71 : 381.86 = 166.30 : x
  2. Step 2: Convert to fraction form
    276.71/381.86 = 166.30/x
  3. Step 3: Cross multiply
    276.71x = 381.86 × 166.30
  4. Step 4: Simplify right side
    276.71x = 63,502.78
  5. Step 5: Solve for x
    x = 63,502.78/276.71
  6. Step 6: Final answer
    x = 229.50

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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.