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Finding the Fourth Proportional to 276.34, 381.32 and 165.82

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Solution

The fourth proportional to 276.34, 381.32 and 165.82 is: 228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.34 : 381.32 = 165.82 : x
  2. Step 2: Convert to fraction form
    276.34/381.32 = 165.82/x
  3. Step 3: Cross multiply
    276.34x = 381.32 × 165.82
  4. Step 4: Simplify right side
    276.34x = 63,230.48
  5. Step 5: Solve for x
    x = 63,230.48/276.34
  6. Step 6: Final answer
    x = 228.81

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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.