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Finding the Fourth Proportional to 367.60, 551.74 and 185.12

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Solution

The fourth proportional to 367.60, 551.74 and 185.12 is: 277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.60 : 551.74 = 185.12 : x
  2. Step 2: Convert to fraction form
    367.60/551.74 = 185.12/x
  3. Step 3: Cross multiply
    367.60x = 551.74 × 185.12
  4. Step 4: Simplify right side
    367.60x = 102,138.11
  5. Step 5: Solve for x
    x = 102,138.11/367.60
  6. Step 6: Final answer
    x = 277.85

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Why These Related Problems?

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