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Finding the Fourth Proportional to 277.56, 382.56 and 211.92

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Solution

The fourth proportional to 277.56, 382.56 and 211.92 is: 292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.56 : 382.56 = 211.92 : x
  2. Step 2: Convert to fraction form
    277.56/382.56 = 211.92/x
  3. Step 3: Cross multiply
    277.56x = 382.56 × 211.92
  4. Step 4: Simplify right side
    277.56x = 81,072.12
  5. Step 5: Solve for x
    x = 81,072.12/277.56
  6. Step 6: Final answer
    x = 292.09

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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.