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Finding the Fourth Proportional to 199.42, 298.76 and 116.96

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Solution

The fourth proportional to 199.42, 298.76 and 116.96 is: 175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.42 : 298.76 = 116.96 : x
  2. Step 2: Convert to fraction form
    199.42/298.76 = 116.96/x
  3. Step 3: Cross multiply
    199.42x = 298.76 × 116.96
  4. Step 4: Simplify right side
    199.42x = 34,942.97
  5. Step 5: Solve for x
    x = 34,942.97/199.42
  6. Step 6: Final answer
    x = 175.22

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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.