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Finding the Fourth Proportional to 200.82, 301.37 and 92.61

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Solution

The fourth proportional to 200.82, 301.37 and 92.61 is: 138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.82 : 301.37 = 92.61 : x
  2. Step 2: Convert to fraction form
    200.82/301.37 = 92.61/x
  3. Step 3: Cross multiply
    200.82x = 301.37 × 92.61
  4. Step 4: Simplify right side
    200.82x = 27,909.88
  5. Step 5: Solve for x
    x = 27,909.88/200.82
  6. Step 6: Final answer
    x = 138.98

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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.