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Finding the Fourth Proportional to 276.06, 380.86 and 165.49

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Solution

The fourth proportional to 276.06, 380.86 and 165.49 is: 228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.06 : 380.86 = 165.49 : x
  2. Step 2: Convert to fraction form
    276.06/380.86 = 165.49/x
  3. Step 3: Cross multiply
    276.06x = 380.86 × 165.49
  4. Step 4: Simplify right side
    276.06x = 63,028.52
  5. Step 5: Solve for x
    x = 63,028.52/276.06
  6. Step 6: Final answer
    x = 228.31

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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.