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Finding the Fourth Proportional to 367.84, 551.66 and 182.67

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Solution

The fourth proportional to 367.84, 551.66 and 182.67 is: 273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.84 : 551.66 = 182.67 : x
  2. Step 2: Convert to fraction form
    367.84/551.66 = 182.67/x
  3. Step 3: Cross multiply
    367.84x = 551.66 × 182.67
  4. Step 4: Simplify right side
    367.84x = 100,768.06
  5. Step 5: Solve for x
    x = 100,768.06/367.84
  6. Step 6: Final answer
    x = 273.95

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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.