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Finding the Fourth Proportional to 375.89, 518.51 and 226.41

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Solution

The fourth proportional to 375.89, 518.51 and 226.41 is: 312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.89 : 518.51 = 226.41 : x
  2. Step 2: Convert to fraction form
    375.89/518.51 = 226.41/x
  3. Step 3: Cross multiply
    375.89x = 518.51 × 226.41
  4. Step 4: Simplify right side
    375.89x = 117,395.85
  5. Step 5: Solve for x
    x = 117,395.85/375.89
  6. Step 6: Final answer
    x = 312.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.