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Finding the Fourth Proportional to 319.70, 441.09 and 195.33

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Solution

The fourth proportional to 319.70, 441.09 and 195.33 is: 269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.70 : 441.09 = 195.33 : x
  2. Step 2: Convert to fraction form
    319.70/441.09 = 195.33/x
  3. Step 3: Cross multiply
    319.70x = 441.09 × 195.33
  4. Step 4: Simplify right side
    319.70x = 86,158.11
  5. Step 5: Solve for x
    x = 86,158.11/319.70
  6. Step 6: Final answer
    x = 269.50

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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.