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Finding the Fourth Proportional to 281.65, 422.83 and 179.37

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Solution

The fourth proportional to 281.65, 422.83 and 179.37 is: 269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.65 : 422.83 = 179.37 : x
  2. Step 2: Convert to fraction form
    281.65/422.83 = 179.37/x
  3. Step 3: Cross multiply
    281.65x = 422.83 × 179.37
  4. Step 4: Simplify right side
    281.65x = 75,843.02
  5. Step 5: Solve for x
    x = 75,843.02/281.65
  6. Step 6: Final answer
    x = 269.28

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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.