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Finding the Fourth Proportional to 200.82, 301.22 and 77.43

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Solution

The fourth proportional to 200.82, 301.22 and 77.43 is: 116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.82 : 301.22 = 77.43 : x
  2. Step 2: Convert to fraction form
    200.82/301.22 = 77.43/x
  3. Step 3: Cross multiply
    200.82x = 301.22 × 77.43
  4. Step 4: Simplify right side
    200.82x = 23,323.46
  5. Step 5: Solve for x
    x = 23,323.46/200.82
  6. Step 6: Final answer
    x = 116.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.