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Finding the Fourth Proportional to 199.26, 298.90 and 96.75

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Solution

The fourth proportional to 199.26, 298.90 and 96.75 is: 145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.26 : 298.90 = 96.75 : x
  2. Step 2: Convert to fraction form
    199.26/298.90 = 96.75/x
  3. Step 3: Cross multiply
    199.26x = 298.90 × 96.75
  4. Step 4: Simplify right side
    199.26x = 28,918.33
  5. Step 5: Solve for x
    x = 28,918.33/199.26
  6. Step 6: Final answer
    x = 145.13

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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.