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Finding the Fourth Proportional to 277.73, 382.98 and 194.81

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Solution

The fourth proportional to 277.73, 382.98 and 194.81 is: 268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.73 : 382.98 = 194.81 : x
  2. Step 2: Convert to fraction form
    277.73/382.98 = 194.81/x
  3. Step 3: Cross multiply
    277.73x = 382.98 × 194.81
  4. Step 4: Simplify right side
    277.73x = 74,608.33
  5. Step 5: Solve for x
    x = 74,608.33/277.73
  6. Step 6: Final answer
    x = 268.64

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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.