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Finding the Fourth Proportional to 277.20, 381.99 and 232.83

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Solution

The fourth proportional to 277.20, 381.99 and 232.83 is: 320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.20 : 381.99 = 232.83 : x
  2. Step 2: Convert to fraction form
    277.20/381.99 = 232.83/x
  3. Step 3: Cross multiply
    277.20x = 381.99 × 232.83
  4. Step 4: Simplify right side
    277.20x = 88,938.73
  5. Step 5: Solve for x
    x = 88,938.73/277.20
  6. Step 6: Final answer
    x = 320.85

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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.