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Finding the Fourth Proportional to 198.66, 297.74 and 146.90

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Solution

The fourth proportional to 198.66, 297.74 and 146.90 is: 220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.66 : 297.74 = 146.90 : x
  2. Step 2: Convert to fraction form
    198.66/297.74 = 146.90/x
  3. Step 3: Cross multiply
    198.66x = 297.74 × 146.90
  4. Step 4: Simplify right side
    198.66x = 43,735.78
  5. Step 5: Solve for x
    x = 43,735.78/198.66
  6. Step 6: Final answer
    x = 220.15

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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.