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Finding the Fourth Proportional to 199.41, 299.19 and 77.76

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Solution

The fourth proportional to 199.41, 299.19 and 77.76 is: 116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.41 : 299.19 = 77.76 : x
  2. Step 2: Convert to fraction form
    199.41/299.19 = 77.76/x
  3. Step 3: Cross multiply
    199.41x = 299.19 × 77.76
  4. Step 4: Simplify right side
    199.41x = 23,265.31
  5. Step 5: Solve for x
    x = 23,265.31/199.41
  6. Step 6: Final answer
    x = 116.67

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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.