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Finding the Fourth Proportional to 319, 440.05 and 194.73

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Solution

The fourth proportional to 319, 440.05 and 194.73 is: 268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319 : 440.05 = 194.73 : x
  2. Step 2: Convert to fraction form
    319/440.05 = 194.73/x
  3. Step 3: Cross multiply
    319x = 440.05 × 194.73
  4. Step 4: Simplify right side
    319x = 85,690.94
  5. Step 5: Solve for x
    x = 85,690.94/319
  6. Step 6: Final answer
    x = 268.62

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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.