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Finding the Fourth Proportional to 204.96, 281.34 and 194.16

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Solution

The fourth proportional to 204.96, 281.34 and 194.16 is: 266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.96 : 281.34 = 194.16 : x
  2. Step 2: Convert to fraction form
    204.96/281.34 = 194.16/x
  3. Step 3: Cross multiply
    204.96x = 281.34 × 194.16
  4. Step 4: Simplify right side
    204.96x = 54,624.97
  5. Step 5: Solve for x
    x = 54,624.97/204.96
  6. Step 6: Final answer
    x = 266.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.