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Finding the Fourth Proportional to 198.70, 297.64 and 133.48

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Solution

The fourth proportional to 198.70, 297.64 and 133.48 is: 199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.70 : 297.64 = 133.48 : x
  2. Step 2: Convert to fraction form
    198.70/297.64 = 133.48/x
  3. Step 3: Cross multiply
    198.70x = 297.64 × 133.48
  4. Step 4: Simplify right side
    198.70x = 39,728.99
  5. Step 5: Solve for x
    x = 39,728.99/198.70
  6. Step 6: Final answer
    x = 199.94

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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.