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Finding the Fourth Proportional to 198.35, 298.67 and 147.35

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Solution

The fourth proportional to 198.35, 298.67 and 147.35 is: 221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.35 : 298.67 = 147.35 : x
  2. Step 2: Convert to fraction form
    198.35/298.67 = 147.35/x
  3. Step 3: Cross multiply
    198.35x = 298.67 × 147.35
  4. Step 4: Simplify right side
    198.35x = 44,009.02
  5. Step 5: Solve for x
    x = 44,009.02/198.35
  6. Step 6: Final answer
    x = 221.88

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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.