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Finding the Fourth Proportional to 319.29, 440.62 and 179.44

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Solution

The fourth proportional to 319.29, 440.62 and 179.44 is: 247.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.29 : 440.62 = 179.44 : x
  2. Step 2: Convert to fraction form
    319.29/440.62 = 179.44/x
  3. Step 3: Cross multiply
    319.29x = 440.62 × 179.44
  4. Step 4: Simplify right side
    319.29x = 79,062.65
  5. Step 5: Solve for x
    x = 79,062.65/319.29
  6. Step 6: Final answer
    x = 247.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.