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Finding the Fourth Proportional to 199.40, 275.09 and 144.05

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Solution

The fourth proportional to 199.40, 275.09 and 144.05 is: 198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.40 : 275.09 = 144.05 : x
  2. Step 2: Convert to fraction form
    199.40/275.09 = 144.05/x
  3. Step 3: Cross multiply
    199.40x = 275.09 × 144.05
  4. Step 4: Simplify right side
    199.40x = 39,626.68
  5. Step 5: Solve for x
    x = 39,626.68/199.40
  6. Step 6: Final answer
    x = 198.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.