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Finding the Fourth Proportional to 203.94, 281.50 and 121.08

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Solution

The fourth proportional to 203.94, 281.50 and 121.08 is: 167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.94 : 281.50 = 121.08 : x
  2. Step 2: Convert to fraction form
    203.94/281.50 = 121.08/x
  3. Step 3: Cross multiply
    203.94x = 281.50 × 121.08
  4. Step 4: Simplify right side
    203.94x = 34,084.72
  5. Step 5: Solve for x
    x = 34,084.72/203.94
  6. Step 6: Final answer
    x = 167.13

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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.