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Finding the Fourth Proportional to 187.75, 281.26 and 110.75

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Solution

The fourth proportional to 187.75, 281.26 and 110.75 is: 165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.75 : 281.26 = 110.75 : x
  2. Step 2: Convert to fraction form
    187.75/281.26 = 110.75/x
  3. Step 3: Cross multiply
    187.75x = 281.26 × 110.75
  4. Step 4: Simplify right side
    187.75x = 31,149.55
  5. Step 5: Solve for x
    x = 31,149.55/187.75
  6. Step 6: Final answer
    x = 165.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.