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Finding the Fourth Proportional to 204.07, 281.62 and 121.19

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Solution

The fourth proportional to 204.07, 281.62 and 121.19 is: 167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.07 : 281.62 = 121.19 : x
  2. Step 2: Convert to fraction form
    204.07/281.62 = 121.19/x
  3. Step 3: Cross multiply
    204.07x = 281.62 × 121.19
  4. Step 4: Simplify right side
    204.07x = 34,128.72
  5. Step 5: Solve for x
    x = 34,128.72/204.07
  6. Step 6: Final answer
    x = 167.24

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Why These Related Problems?

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