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Finding the Fourth Proportional to 200.97, 277.07 and 161.73

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Solution

The fourth proportional to 200.97, 277.07 and 161.73 is: 222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.97 : 277.07 = 161.73 : x
  2. Step 2: Convert to fraction form
    200.97/277.07 = 161.73/x
  3. Step 3: Cross multiply
    200.97x = 277.07 × 161.73
  4. Step 4: Simplify right side
    200.97x = 44,809.72
  5. Step 5: Solve for x
    x = 44,809.72/200.97
  6. Step 6: Final answer
    x = 222.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.