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Finding the Fourth Proportional to 204.25, 281.88 and 116.95

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Solution

The fourth proportional to 204.25, 281.88 and 116.95 is: 161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.25 : 281.88 = 116.95 : x
  2. Step 2: Convert to fraction form
    204.25/281.88 = 116.95/x
  3. Step 3: Cross multiply
    204.25x = 281.88 × 116.95
  4. Step 4: Simplify right side
    204.25x = 32,965.87
  5. Step 5: Solve for x
    x = 32,965.87/204.25
  6. Step 6: Final answer
    x = 161.40

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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.