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Finding the Fourth Proportional to 199.46, 298.91 and 135.38

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Solution

The fourth proportional to 199.46, 298.91 and 135.38 is: 202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.46 : 298.91 = 135.38 : x
  2. Step 2: Convert to fraction form
    199.46/298.91 = 135.38/x
  3. Step 3: Cross multiply
    199.46x = 298.91 × 135.38
  4. Step 4: Simplify right side
    199.46x = 40,466.44
  5. Step 5: Solve for x
    x = 40,466.44/199.46
  6. Step 6: Final answer
    x = 202.88

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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.