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Finding the Fourth Proportional to 276.11, 381.00 and 165.57

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Solution

The fourth proportional to 276.11, 381.00 and 165.57 is: 228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.11 : 381.00 = 165.57 : x
  2. Step 2: Convert to fraction form
    276.11/381.00 = 165.57/x
  3. Step 3: Cross multiply
    276.11x = 381.00 × 165.57
  4. Step 4: Simplify right side
    276.11x = 63,079.44
  5. Step 5: Solve for x
    x = 63,079.44/276.11
  6. Step 6: Final answer
    x = 228.46

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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.