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Finding the Fourth Proportional to 299.75, 451.40 and 223.26

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Solution

The fourth proportional to 299.75, 451.40 and 223.26 is: 336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.75 : 451.40 = 223.26 : x
  2. Step 2: Convert to fraction form
    299.75/451.40 = 223.26/x
  3. Step 3: Cross multiply
    299.75x = 451.40 × 223.26
  4. Step 4: Simplify right side
    299.75x = 100,779.56
  5. Step 5: Solve for x
    x = 100,779.56/299.75
  6. Step 6: Final answer
    x = 336.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.