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Finding the Fourth Proportional to 199.03, 298.51 and 54.74

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Solution

The fourth proportional to 199.03, 298.51 and 54.74 is: 82.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.03 : 298.51 = 54.74 : x
  2. Step 2: Convert to fraction form
    199.03/298.51 = 54.74/x
  3. Step 3: Cross multiply
    199.03x = 298.51 × 54.74
  4. Step 4: Simplify right side
    199.03x = 16,340.44
  5. Step 5: Solve for x
    x = 16,340.44/199.03
  6. Step 6: Final answer
    x = 82.10

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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.