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Finding the Fourth Proportional to 281.88, 423.05 and 119.68

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Solution

The fourth proportional to 281.88, 423.05 and 119.68 is: 179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.88 : 423.05 = 119.68 : x
  2. Step 2: Convert to fraction form
    281.88/423.05 = 119.68/x
  3. Step 3: Cross multiply
    281.88x = 423.05 × 119.68
  4. Step 4: Simplify right side
    281.88x = 50,629.30
  5. Step 5: Solve for x
    x = 50,629.30/281.88
  6. Step 6: Final answer
    x = 179.61

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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.