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Finding the Fourth Proportional to 281.87, 388.99 and 163.86

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Solution

The fourth proportional to 281.87, 388.99 and 163.86 is: 226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.87 : 388.99 = 163.86 : x
  2. Step 2: Convert to fraction form
    281.87/388.99 = 163.86/x
  3. Step 3: Cross multiply
    281.87x = 388.99 × 163.86
  4. Step 4: Simplify right side
    281.87x = 63,737.55
  5. Step 5: Solve for x
    x = 63,737.55/281.87
  6. Step 6: Final answer
    x = 226.12

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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.