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Finding the Fourth Proportional to 204.26, 281.75 and 126.63

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Solution

The fourth proportional to 204.26, 281.75 and 126.63 is: 174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.26 : 281.75 = 126.63 : x
  2. Step 2: Convert to fraction form
    204.26/281.75 = 126.63/x
  3. Step 3: Cross multiply
    204.26x = 281.75 × 126.63
  4. Step 4: Simplify right side
    204.26x = 35,677.37
  5. Step 5: Solve for x
    x = 35,677.37/204.26
  6. Step 6: Final answer
    x = 174.67

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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.