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Finding the Fourth Proportional to 199.31, 298.97 and 55.04

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Solution

The fourth proportional to 199.31, 298.97 and 55.04 is: 82.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.31 : 298.97 = 55.04 : x
  2. Step 2: Convert to fraction form
    199.31/298.97 = 55.04/x
  3. Step 3: Cross multiply
    199.31x = 298.97 × 55.04
  4. Step 4: Simplify right side
    199.31x = 16,453.95
  5. Step 5: Solve for x
    x = 16,453.95/199.31
  6. Step 6: Final answer
    x = 82.55

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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.