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Finding the Fourth Proportional to 319.26, 440.46 and 194.88

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Solution

The fourth proportional to 319.26, 440.46 and 194.88 is: 268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.26 : 440.46 = 194.88 : x
  2. Step 2: Convert to fraction form
    319.26/440.46 = 194.88/x
  3. Step 3: Cross multiply
    319.26x = 440.46 × 194.88
  4. Step 4: Simplify right side
    319.26x = 85,836.84
  5. Step 5: Solve for x
    x = 85,836.84/319.26
  6. Step 6: Final answer
    x = 268.86

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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.