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Finding the Fourth Proportional to 367.88, 551.64 and 185.24

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Solution

The fourth proportional to 367.88, 551.64 and 185.24 is: 277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.88 : 551.64 = 185.24 : x
  2. Step 2: Convert to fraction form
    367.88/551.64 = 185.24/x
  3. Step 3: Cross multiply
    367.88x = 551.64 × 185.24
  4. Step 4: Simplify right side
    367.88x = 102,185.79
  5. Step 5: Solve for x
    x = 102,185.79/367.88
  6. Step 6: Final answer
    x = 277.77

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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.