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Finding the Fourth Proportional to 234.98, 352.03 and 209.56

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Solution

The fourth proportional to 234.98, 352.03 and 209.56 is: 313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.98 : 352.03 = 209.56 : x
  2. Step 2: Convert to fraction form
    234.98/352.03 = 209.56/x
  3. Step 3: Cross multiply
    234.98x = 352.03 × 209.56
  4. Step 4: Simplify right side
    234.98x = 73,771.41
  5. Step 5: Solve for x
    x = 73,771.41/234.98
  6. Step 6: Final answer
    x = 313.95

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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.