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Finding the Fourth Proportional to 199.44, 299.06 and 77.64

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Solution

The fourth proportional to 199.44, 299.06 and 77.64 is: 116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.44 : 299.06 = 77.64 : x
  2. Step 2: Convert to fraction form
    199.44/299.06 = 77.64/x
  3. Step 3: Cross multiply
    199.44x = 299.06 × 77.64
  4. Step 4: Simplify right side
    199.44x = 23,219.02
  5. Step 5: Solve for x
    x = 23,219.02/199.44
  6. Step 6: Final answer
    x = 116.42

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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.