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Finding the Fourth Proportional to 277.25, 382.47 and 211.73

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Solution

The fourth proportional to 277.25, 382.47 and 211.73 is: 292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.25 : 382.47 = 211.73 : x
  2. Step 2: Convert to fraction form
    277.25/382.47 = 211.73/x
  3. Step 3: Cross multiply
    277.25x = 382.47 × 211.73
  4. Step 4: Simplify right side
    277.25x = 80,980.37
  5. Step 5: Solve for x
    x = 80,980.37/277.25
  6. Step 6: Final answer
    x = 292.08

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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.