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Finding the Fourth Proportional to 200.82, 277.09 and 122.11

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Solution

The fourth proportional to 200.82, 277.09 and 122.11 is: 168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.82 : 277.09 = 122.11 : x
  2. Step 2: Convert to fraction form
    200.82/277.09 = 122.11/x
  3. Step 3: Cross multiply
    200.82x = 277.09 × 122.11
  4. Step 4: Simplify right side
    200.82x = 33,834.91
  5. Step 5: Solve for x
    x = 33,834.91/200.82
  6. Step 6: Final answer
    x = 168.49

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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.