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Finding the Fourth Proportional to 319.80, 441.39 and 179.97

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Solution

The fourth proportional to 319.80, 441.39 and 179.97 is: 248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.80 : 441.39 = 179.97 : x
  2. Step 2: Convert to fraction form
    319.80/441.39 = 179.97/x
  3. Step 3: Cross multiply
    319.80x = 441.39 × 179.97
  4. Step 4: Simplify right side
    319.80x = 79,436.96
  5. Step 5: Solve for x
    x = 79,436.96/319.80
  6. Step 6: Final answer
    x = 248.40

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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.