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Finding the Fourth Proportional to 199.10, 298.62 and 77.42

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Solution

The fourth proportional to 199.10, 298.62 and 77.42 is: 116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.10 : 298.62 = 77.42 : x
  2. Step 2: Convert to fraction form
    199.10/298.62 = 77.42/x
  3. Step 3: Cross multiply
    199.10x = 298.62 × 77.42
  4. Step 4: Simplify right side
    199.10x = 23,119.16
  5. Step 5: Solve for x
    x = 23,119.16/199.10
  6. Step 6: Final answer
    x = 116.12

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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.