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Finding the Fourth Proportional to 281.37, 388.30 and 163.35

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Solution

The fourth proportional to 281.37, 388.30 and 163.35 is: 225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.37 : 388.30 = 163.35 : x
  2. Step 2: Convert to fraction form
    281.37/388.30 = 163.35/x
  3. Step 3: Cross multiply
    281.37x = 388.30 × 163.35
  4. Step 4: Simplify right side
    281.37x = 63,428.70
  5. Step 5: Solve for x
    x = 63,428.70/281.37
  6. Step 6: Final answer
    x = 225.43

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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.