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Finding the Fourth Proportional to 319.06, 440.20 and 194.68

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Solution

The fourth proportional to 319.06, 440.20 and 194.68 is: 268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.06 : 440.20 = 194.68 : x
  2. Step 2: Convert to fraction form
    319.06/440.20 = 194.68/x
  3. Step 3: Cross multiply
    319.06x = 440.20 × 194.68
  4. Step 4: Simplify right side
    319.06x = 85,698.14
  5. Step 5: Solve for x
    x = 85,698.14/319.06
  6. Step 6: Final answer
    x = 268.60

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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.