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Finding the Fourth Proportional to 281.25, 421.81 and 107.86

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Solution

The fourth proportional to 281.25, 421.81 and 107.86 is: 161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.25 : 421.81 = 107.86 : x
  2. Step 2: Convert to fraction form
    281.25/421.81 = 107.86/x
  3. Step 3: Cross multiply
    281.25x = 421.81 × 107.86
  4. Step 4: Simplify right side
    281.25x = 45,496.43
  5. Step 5: Solve for x
    x = 45,496.43/281.25
  6. Step 6: Final answer
    x = 161.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.