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Finding the Fourth Proportional to 281.48, 388.45 and 161.86

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Solution

The fourth proportional to 281.48, 388.45 and 161.86 is: 223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.48 : 388.45 = 161.86 : x
  2. Step 2: Convert to fraction form
    281.48/388.45 = 161.86/x
  3. Step 3: Cross multiply
    281.48x = 388.45 × 161.86
  4. Step 4: Simplify right side
    281.48x = 62,874.68
  5. Step 5: Solve for x
    x = 62,874.68/281.48
  6. Step 6: Final answer
    x = 223.37

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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.