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Finding the Fourth Proportional to 198.21, 296.99 and 140.31

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Solution

The fourth proportional to 198.21, 296.99 and 140.31 is: 210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.21 : 296.99 = 140.31 : x
  2. Step 2: Convert to fraction form
    198.21/296.99 = 140.31/x
  3. Step 3: Cross multiply
    198.21x = 296.99 × 140.31
  4. Step 4: Simplify right side
    198.21x = 41,670.49
  5. Step 5: Solve for x
    x = 41,670.49/198.21
  6. Step 6: Final answer
    x = 210.23

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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.