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Finding the Fourth Proportional to 277.89, 382.84 and 194.85

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Solution

The fourth proportional to 277.89, 382.84 and 194.85 is: 268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.89 : 382.84 = 194.85 : x
  2. Step 2: Convert to fraction form
    277.89/382.84 = 194.85/x
  3. Step 3: Cross multiply
    277.89x = 382.84 × 194.85
  4. Step 4: Simplify right side
    277.89x = 74,596.37
  5. Step 5: Solve for x
    x = 74,596.37/277.89
  6. Step 6: Final answer
    x = 268.44

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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.