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Finding the Fourth Proportional to 367.53, 551.26 and 185.06

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Solution

The fourth proportional to 367.53, 551.26 and 185.06 is: 277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.53 : 551.26 = 185.06 : x
  2. Step 2: Convert to fraction form
    367.53/551.26 = 185.06/x
  3. Step 3: Cross multiply
    367.53x = 551.26 × 185.06
  4. Step 4: Simplify right side
    367.53x = 102,012.49
  5. Step 5: Solve for x
    x = 102,012.49/367.53
  6. Step 6: Final answer
    x = 277.56

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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.