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Finding the Fourth Proportional to 199.87, 299.65 and 69.79

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Solution

The fourth proportional to 199.87, 299.65 and 69.79 is: 104.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.87 : 299.65 = 69.79 : x
  2. Step 2: Convert to fraction form
    199.87/299.65 = 69.79/x
  3. Step 3: Cross multiply
    199.87x = 299.65 × 69.79
  4. Step 4: Simplify right side
    199.87x = 20,911.50
  5. Step 5: Solve for x
    x = 20,911.50/199.87
  6. Step 6: Final answer
    x = 104.63

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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.