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Finding the Fourth Proportional to 199.56, 299.32 and 55.26

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Solution

The fourth proportional to 199.56, 299.32 and 55.26 is: 82.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.56 : 299.32 = 55.26 : x
  2. Step 2: Convert to fraction form
    199.56/299.32 = 55.26/x
  3. Step 3: Cross multiply
    199.56x = 299.32 × 55.26
  4. Step 4: Simplify right side
    199.56x = 16,540.42
  5. Step 5: Solve for x
    x = 16,540.42/199.56
  6. Step 6: Final answer
    x = 82.88

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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.