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Finding the Fourth Proportional to 319.15, 440.41 and 179.27

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Solution

The fourth proportional to 319.15, 440.41 and 179.27 is: 247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.15 : 440.41 = 179.27 : x
  2. Step 2: Convert to fraction form
    319.15/440.41 = 179.27/x
  3. Step 3: Cross multiply
    319.15x = 440.41 × 179.27
  4. Step 4: Simplify right side
    319.15x = 78,953.38
  5. Step 5: Solve for x
    x = 78,953.38/319.15
  6. Step 6: Final answer
    x = 247.39

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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.