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Finding the Fourth Proportional to 319.14, 440.58 and 194.83

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Solution

The fourth proportional to 319.14, 440.58 and 194.83 is: 268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.14 : 440.58 = 194.83 : x
  2. Step 2: Convert to fraction form
    319.14/440.58 = 194.83/x
  3. Step 3: Cross multiply
    319.14x = 440.58 × 194.83
  4. Step 4: Simplify right side
    319.14x = 85,836.00
  5. Step 5: Solve for x
    x = 85,836.00/319.14
  6. Step 6: Final answer
    x = 268.96

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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.