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Finding the Fourth Proportional to 281.37, 388.03 and 182.96

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Solution

The fourth proportional to 281.37, 388.03 and 182.96 is: 252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.37 : 388.03 = 182.96 : x
  2. Step 2: Convert to fraction form
    281.37/388.03 = 182.96/x
  3. Step 3: Cross multiply
    281.37x = 388.03 × 182.96
  4. Step 4: Simplify right side
    281.37x = 70,993.97
  5. Step 5: Solve for x
    x = 70,993.97/281.37
  6. Step 6: Final answer
    x = 252.32

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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.