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Finding the Fourth Proportional to 199.74, 299.49 and 77.86

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Solution

The fourth proportional to 199.74, 299.49 and 77.86 is: 116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.74 : 299.49 = 77.86 : x
  2. Step 2: Convert to fraction form
    199.74/299.49 = 77.86/x
  3. Step 3: Cross multiply
    199.74x = 299.49 × 77.86
  4. Step 4: Simplify right side
    199.74x = 23,317.81
  5. Step 5: Solve for x
    x = 23,317.81/199.74
  6. Step 6: Final answer
    x = 116.74

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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.