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Finding the Fourth Proportional to 200.78, 301.31 and 103.22

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Solution

The fourth proportional to 200.78, 301.31 and 103.22 is: 154.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.78 : 301.31 = 103.22 : x
  2. Step 2: Convert to fraction form
    200.78/301.31 = 103.22/x
  3. Step 3: Cross multiply
    200.78x = 301.31 × 103.22
  4. Step 4: Simplify right side
    200.78x = 31,099.20
  5. Step 5: Solve for x
    x = 31,099.20/200.78
  6. Step 6: Final answer
    x = 154.90

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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.