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Finding the Fourth Proportional to 375.33, 518.10 and 227.96

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Solution

The fourth proportional to 375.33, 518.10 and 227.96 is: 314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.33 : 518.10 = 227.96 : x
  2. Step 2: Convert to fraction form
    375.33/518.10 = 227.96/x
  3. Step 3: Cross multiply
    375.33x = 518.10 × 227.96
  4. Step 4: Simplify right side
    375.33x = 118,107.49
  5. Step 5: Solve for x
    x = 118,107.49/375.33
  6. Step 6: Final answer
    x = 314.67

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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.