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Finding the Fourth Proportional to 281.44, 388.41 and 163.46

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Solution

The fourth proportional to 281.44, 388.41 and 163.46 is: 225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.44 : 388.41 = 163.46 : x
  2. Step 2: Convert to fraction form
    281.44/388.41 = 163.46/x
  3. Step 3: Cross multiply
    281.44x = 388.41 × 163.46
  4. Step 4: Simplify right side
    281.44x = 63,489.50
  5. Step 5: Solve for x
    x = 63,489.50/281.44
  6. Step 6: Final answer
    x = 225.59

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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.