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Finding the Fourth Proportional to 319.78, 440.94 and 236.92

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Solution

The fourth proportional to 319.78, 440.94 and 236.92 is: 326.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.78 : 440.94 = 236.92 : x
  2. Step 2: Convert to fraction form
    319.78/440.94 = 236.92/x
  3. Step 3: Cross multiply
    319.78x = 440.94 × 236.92
  4. Step 4: Simplify right side
    319.78x = 104,467.50
  5. Step 5: Solve for x
    x = 104,467.50/319.78
  6. Step 6: Final answer
    x = 326.69

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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.