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Finding the Fourth Proportional to 204.78, 307.22 and 113.29

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Solution

The fourth proportional to 204.78, 307.22 and 113.29 is: 169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.78 : 307.22 = 113.29 : x
  2. Step 2: Convert to fraction form
    204.78/307.22 = 113.29/x
  3. Step 3: Cross multiply
    204.78x = 307.22 × 113.29
  4. Step 4: Simplify right side
    204.78x = 34,804.23
  5. Step 5: Solve for x
    x = 34,804.23/204.78
  6. Step 6: Final answer
    x = 169.96

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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.