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Finding the Fourth Proportional to 319.13, 440.28 and 194.84

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Solution

The fourth proportional to 319.13, 440.28 and 194.84 is: 268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.13 : 440.28 = 194.84 : x
  2. Step 2: Convert to fraction form
    319.13/440.28 = 194.84/x
  3. Step 3: Cross multiply
    319.13x = 440.28 × 194.84
  4. Step 4: Simplify right side
    319.13x = 85,781.95
  5. Step 5: Solve for x
    x = 85,781.95/319.13
  6. Step 6: Final answer
    x = 268.80

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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.