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Finding the Fourth Proportional to 276.74, 382.02 and 166.19

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Solution

The fourth proportional to 276.74, 382.02 and 166.19 is: 229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.74 : 382.02 = 166.19 : x
  2. Step 2: Convert to fraction form
    276.74/382.02 = 166.19/x
  3. Step 3: Cross multiply
    276.74x = 382.02 × 166.19
  4. Step 4: Simplify right side
    276.74x = 63,485.99
  5. Step 5: Solve for x
    x = 63,485.99/276.74
  6. Step 6: Final answer
    x = 229.41

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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.