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Finding the Fourth Proportional to 276.80, 382.12 and 166.36

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Solution

The fourth proportional to 276.80, 382.12 and 166.36 is: 229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.80 : 382.12 = 166.36 : x
  2. Step 2: Convert to fraction form
    276.80/382.12 = 166.36/x
  3. Step 3: Cross multiply
    276.80x = 382.12 × 166.36
  4. Step 4: Simplify right side
    276.80x = 63,569.48
  5. Step 5: Solve for x
    x = 63,569.48/276.80
  6. Step 6: Final answer
    x = 229.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.