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Finding the Fourth Proportional to 198.10, 298.30 and 147.11

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Solution

The fourth proportional to 198.10, 298.30 and 147.11 is: 221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.10 : 298.30 = 147.11 : x
  2. Step 2: Convert to fraction form
    198.10/298.30 = 147.11/x
  3. Step 3: Cross multiply
    198.10x = 298.30 × 147.11
  4. Step 4: Simplify right side
    198.10x = 43,881.05
  5. Step 5: Solve for x
    x = 43,881.05/198.10
  6. Step 6: Final answer
    x = 221.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.