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Finding the Fourth Proportional to 277.46, 382.78 and 222.12

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Solution

The fourth proportional to 277.46, 382.78 and 222.12 is: 306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.46 : 382.78 = 222.12 : x
  2. Step 2: Convert to fraction form
    277.46/382.78 = 222.12/x
  3. Step 3: Cross multiply
    277.46x = 382.78 × 222.12
  4. Step 4: Simplify right side
    277.46x = 85,023.09
  5. Step 5: Solve for x
    x = 85,023.09/277.46
  6. Step 6: Final answer
    x = 306.43

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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.