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Finding the Fourth Proportional to 281.41, 421.97 and 119.05

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Solution

The fourth proportional to 281.41, 421.97 and 119.05 is: 178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.41 : 421.97 = 119.05 : x
  2. Step 2: Convert to fraction form
    281.41/421.97 = 119.05/x
  3. Step 3: Cross multiply
    281.41x = 421.97 × 119.05
  4. Step 4: Simplify right side
    281.41x = 50,235.53
  5. Step 5: Solve for x
    x = 50,235.53/281.41
  6. Step 6: Final answer
    x = 178.51

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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.