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Finding the Fourth Proportional to 234.50, 323.80 and 195.89

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Solution

The fourth proportional to 234.50, 323.80 and 195.89 is: 270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.50 : 323.80 = 195.89 : x
  2. Step 2: Convert to fraction form
    234.50/323.80 = 195.89/x
  3. Step 3: Cross multiply
    234.50x = 323.80 × 195.89
  4. Step 4: Simplify right side
    234.50x = 63,427.07
  5. Step 5: Solve for x
    x = 63,427.07/234.50
  6. Step 6: Final answer
    x = 270.48

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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.