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Finding the Fourth Proportional to 319.36, 440.76 and 194.98

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Solution

The fourth proportional to 319.36, 440.76 and 194.98 is: 269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.36 : 440.76 = 194.98 : x
  2. Step 2: Convert to fraction form
    319.36/440.76 = 194.98/x
  3. Step 3: Cross multiply
    319.36x = 440.76 × 194.98
  4. Step 4: Simplify right side
    319.36x = 85,939.38
  5. Step 5: Solve for x
    x = 85,939.38/319.36
  6. Step 6: Final answer
    x = 269.10

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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.