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Finding the Fourth Proportional to 319.33, 440.67 and 195.04

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Solution

The fourth proportional to 319.33, 440.67 and 195.04 is: 269.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.33 : 440.67 = 195.04 : x
  2. Step 2: Convert to fraction form
    319.33/440.67 = 195.04/x
  3. Step 3: Cross multiply
    319.33x = 440.67 × 195.04
  4. Step 4: Simplify right side
    319.33x = 85,948.28
  5. Step 5: Solve for x
    x = 85,948.28/319.33
  6. Step 6: Final answer
    x = 269.15

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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.