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Finding the Fourth Proportional to 276.45, 381.55 and 165.94

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Solution

The fourth proportional to 276.45, 381.55 and 165.94 is: 229.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.45 : 381.55 = 165.94 : x
  2. Step 2: Convert to fraction form
    276.45/381.55 = 165.94/x
  3. Step 3: Cross multiply
    276.45x = 381.55 × 165.94
  4. Step 4: Simplify right side
    276.45x = 63,314.41
  5. Step 5: Solve for x
    x = 63,314.41/276.45
  6. Step 6: Final answer
    x = 229.03

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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.