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Finding the Fourth Proportional to 281.25, 421.83 and 199.85

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Solution

The fourth proportional to 281.25, 421.83 and 199.85 is: 299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.25 : 421.83 = 199.85 : x
  2. Step 2: Convert to fraction form
    281.25/421.83 = 199.85/x
  3. Step 3: Cross multiply
    281.25x = 421.83 × 199.85
  4. Step 4: Simplify right side
    281.25x = 84,300.62
  5. Step 5: Solve for x
    x = 84,300.62/281.25
  6. Step 6: Final answer
    x = 299.74

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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.