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Finding the Fourth Proportional to 199.76, 299.63 and 69.76

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Solution

The fourth proportional to 199.76, 299.63 and 69.76 is: 104.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.76 : 299.63 = 69.76 : x
  2. Step 2: Convert to fraction form
    199.76/299.63 = 69.76/x
  3. Step 3: Cross multiply
    199.76x = 299.63 × 69.76
  4. Step 4: Simplify right side
    199.76x = 20,900.87
  5. Step 5: Solve for x
    x = 20,900.87/199.76
  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.