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Finding the Fourth Proportional to 367.90, 551.98 and 194.69

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Solution

The fourth proportional to 367.90, 551.98 and 194.69 is: 292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.90 : 551.98 = 194.69 : x
  2. Step 2: Convert to fraction form
    367.90/551.98 = 194.69/x
  3. Step 3: Cross multiply
    367.90x = 551.98 × 194.69
  4. Step 4: Simplify right side
    367.90x = 107,466.61
  5. Step 5: Solve for x
    x = 107,466.61/367.90
  6. Step 6: Final answer
    x = 292.11

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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.