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Finding the Fourth Proportional to 234.56, 350.96 and 204.50

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Solution

The fourth proportional to 234.56, 350.96 and 204.50 is: 305.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.56 : 350.96 = 204.50 : x
  2. Step 2: Convert to fraction form
    234.56/350.96 = 204.50/x
  3. Step 3: Cross multiply
    234.56x = 350.96 × 204.50
  4. Step 4: Simplify right side
    234.56x = 71,768.54
  5. Step 5: Solve for x
    x = 71,768.54/234.56
  6. Step 6: Final answer
    x = 305.98

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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.