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Finding the Fourth Proportional to 367.44, 551.25 and 205.23

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Solution

The fourth proportional to 367.44, 551.25 and 205.23 is: 307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.44 : 551.25 = 205.23 : x
  2. Step 2: Convert to fraction form
    367.44/551.25 = 205.23/x
  3. Step 3: Cross multiply
    367.44x = 551.25 × 205.23
  4. Step 4: Simplify right side
    367.44x = 113,133.04
  5. Step 5: Solve for x
    x = 113,133.04/367.44
  6. Step 6: Final answer
    x = 307.90

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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.