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Finding the Fourth Proportional to 367.98, 551.85 and 107.93

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Solution

The fourth proportional to 367.98, 551.85 and 107.93 is: 161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.98 : 551.85 = 107.93 : x
  2. Step 2: Convert to fraction form
    367.98/551.85 = 107.93/x
  3. Step 3: Cross multiply
    367.98x = 551.85 × 107.93
  4. Step 4: Simplify right side
    367.98x = 59,558.41
  5. Step 5: Solve for x
    x = 59,558.41/367.98
  6. Step 6: Final answer
    x = 161.85

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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.