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Finding the Fourth Proportional to 281.74, 422.06 and 185.26

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Solution

The fourth proportional to 281.74, 422.06 and 185.26 is: 277.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.74 : 422.06 = 185.26 : x
  2. Step 2: Convert to fraction form
    281.74/422.06 = 185.26/x
  3. Step 3: Cross multiply
    281.74x = 422.06 × 185.26
  4. Step 4: Simplify right side
    281.74x = 78,190.84
  5. Step 5: Solve for x
    x = 78,190.84/281.74
  6. Step 6: Final answer
    x = 277.53

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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.