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Finding the Fourth Proportional to 276.67, 381.81 and 160.30

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Solution

The fourth proportional to 276.67, 381.81 and 160.30 is: 221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.67 : 381.81 = 160.30 : x
  2. Step 2: Convert to fraction form
    276.67/381.81 = 160.30/x
  3. Step 3: Cross multiply
    276.67x = 381.81 × 160.30
  4. Step 4: Simplify right side
    276.67x = 61,204.14
  5. Step 5: Solve for x
    x = 61,204.14/276.67
  6. Step 6: Final answer
    x = 221.22

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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.