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Finding the Fourth Proportional to 319.07, 440.30 and 194.80

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Solution

The fourth proportional to 319.07, 440.30 and 194.80 is: 268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.07 : 440.30 = 194.80 : x
  2. Step 2: Convert to fraction form
    319.07/440.30 = 194.80/x
  3. Step 3: Cross multiply
    319.07x = 440.30 × 194.80
  4. Step 4: Simplify right side
    319.07x = 85,769.83
  5. Step 5: Solve for x
    x = 85,769.83/319.07
  6. Step 6: Final answer
    x = 268.82

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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.