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Finding the Fourth Proportional to 198.05, 295.85 and 146.41

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Solution

The fourth proportional to 198.05, 295.85 and 146.41 is: 218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.05 : 295.85 = 146.41 : x
  2. Step 2: Convert to fraction form
    198.05/295.85 = 146.41/x
  3. Step 3: Cross multiply
    198.05x = 295.85 × 146.41
  4. Step 4: Simplify right side
    198.05x = 43,315.02
  5. Step 5: Solve for x
    x = 43,315.02/198.05
  6. Step 6: Final answer
    x = 218.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.