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Finding the Fourth Proportional to 367.85, 551.65 and 194.42

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Solution

The fourth proportional to 367.85, 551.65 and 194.42 is: 291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.85 : 551.65 = 194.42 : x
  2. Step 2: Convert to fraction form
    367.85/551.65 = 194.42/x
  3. Step 3: Cross multiply
    367.85x = 551.65 × 194.42
  4. Step 4: Simplify right side
    367.85x = 107,251.79
  5. Step 5: Solve for x
    x = 107,251.79/367.85
  6. Step 6: Final answer
    x = 291.56

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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.