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Finding the Fourth Proportional to 375.11, 517.50 and 223.67

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Solution

The fourth proportional to 375.11, 517.50 and 223.67 is: 308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.11 : 517.50 = 223.67 : x
  2. Step 2: Convert to fraction form
    375.11/517.50 = 223.67/x
  3. Step 3: Cross multiply
    375.11x = 517.50 × 223.67
  4. Step 4: Simplify right side
    375.11x = 115,747.61
  5. Step 5: Solve for x
    x = 115,747.61/375.11
  6. Step 6: Final answer
    x = 308.57

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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.