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Finding the Fourth Proportional to 233.75, 350.82 and 199.73

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Solution

The fourth proportional to 233.75, 350.82 and 199.73 is: 299.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.75 : 350.82 = 199.73 : x
  2. Step 2: Convert to fraction form
    233.75/350.82 = 199.73/x
  3. Step 3: Cross multiply
    233.75x = 350.82 × 199.73
  4. Step 4: Simplify right side
    233.75x = 70,068.28
  5. Step 5: Solve for x
    x = 70,068.28/233.75
  6. Step 6: Final answer
    x = 299.76

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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.