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Finding the Fourth Proportional to 367.45, 551.46 and 194.10

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Solution

The fourth proportional to 367.45, 551.46 and 194.10 is: 291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.45 : 551.46 = 194.10 : x
  2. Step 2: Convert to fraction form
    367.45/551.46 = 194.10/x
  3. Step 3: Cross multiply
    367.45x = 551.46 × 194.10
  4. Step 4: Simplify right side
    367.45x = 107,035.95
  5. Step 5: Solve for x
    x = 107,035.95/367.45
  6. Step 6: Final answer
    x = 291.29

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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.