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Finding the Fourth Proportional to 319.39, 478.62 and 182.15

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Solution

The fourth proportional to 319.39, 478.62 and 182.15 is: 272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.39 : 478.62 = 182.15 : x
  2. Step 2: Convert to fraction form
    319.39/478.62 = 182.15/x
  3. Step 3: Cross multiply
    319.39x = 478.62 × 182.15
  4. Step 4: Simplify right side
    319.39x = 87,180.63
  5. Step 5: Solve for x
    x = 87,180.63/319.39
  6. Step 6: Final answer
    x = 272.96

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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.