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Finding the Fourth Proportional to 319.72, 441.27 and 195.49

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Solution

The fourth proportional to 319.72, 441.27 and 195.49 is: 269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.72 : 441.27 = 195.49 : x
  2. Step 2: Convert to fraction form
    319.72/441.27 = 195.49/x
  3. Step 3: Cross multiply
    319.72x = 441.27 × 195.49
  4. Step 4: Simplify right side
    319.72x = 86,263.87
  5. Step 5: Solve for x
    x = 86,263.87/319.72
  6. Step 6: Final answer
    x = 269.81

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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.