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Finding the Fourth Proportional to 367.66, 551.44 and 185.18

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Solution

The fourth proportional to 367.66, 551.44 and 185.18 is: 277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.66 : 551.44 = 185.18 : x
  2. Step 2: Convert to fraction form
    367.66/551.44 = 185.18/x
  3. Step 3: Cross multiply
    367.66x = 551.44 × 185.18
  4. Step 4: Simplify right side
    367.66x = 102,115.66
  5. Step 5: Solve for x
    x = 102,115.66/367.66
  6. Step 6: Final answer
    x = 277.74

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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.