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Finding the Fourth Proportional to 281.74, 422.34 and 108.28

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Solution

The fourth proportional to 281.74, 422.34 and 108.28 is: 162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.74 : 422.34 = 108.28 : x
  2. Step 2: Convert to fraction form
    281.74/422.34 = 108.28/x
  3. Step 3: Cross multiply
    281.74x = 422.34 × 108.28
  4. Step 4: Simplify right side
    281.74x = 45,730.98
  5. Step 5: Solve for x
    x = 45,730.98/281.74
  6. Step 6: Final answer
    x = 162.32

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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.