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Finding the Fourth Proportional to 319.62, 479.40 and 182.23

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Solution

The fourth proportional to 319.62, 479.40 and 182.23 is: 273.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.62 : 479.40 = 182.23 : x
  2. Step 2: Convert to fraction form
    319.62/479.40 = 182.23/x
  3. Step 3: Cross multiply
    319.62x = 479.40 × 182.23
  4. Step 4: Simplify right side
    319.62x = 87,361.06
  5. Step 5: Solve for x
    x = 87,361.06/319.62
  6. Step 6: Final answer
    x = 273.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.