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Finding the Fourth Proportional to 204.44, 282.08 and 121.56

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Solution

The fourth proportional to 204.44, 282.08 and 121.56 is: 167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.44 : 282.08 = 121.56 : x
  2. Step 2: Convert to fraction form
    204.44/282.08 = 121.56/x
  3. Step 3: Cross multiply
    204.44x = 282.08 × 121.56
  4. Step 4: Simplify right side
    204.44x = 34,289.64
  5. Step 5: Solve for x
    x = 34,289.64/204.44
  6. Step 6: Final answer
    x = 167.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.