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Finding the Fourth Proportional to 200.77, 301.21 and 85.22

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Solution

The fourth proportional to 200.77, 301.21 and 85.22 is: 127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.77 : 301.21 = 85.22 : x
  2. Step 2: Convert to fraction form
    200.77/301.21 = 85.22/x
  3. Step 3: Cross multiply
    200.77x = 301.21 × 85.22
  4. Step 4: Simplify right side
    200.77x = 25,670.70
  5. Step 5: Solve for x
    x = 25,670.70/200.77
  6. Step 6: Final answer
    x = 127.86

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