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Finding the Fourth Proportional to 199.31, 299.06 and 83.75

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Solution

The fourth proportional to 199.31, 299.06 and 83.75 is: 125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.31 : 299.06 = 83.75 : x
  2. Step 2: Convert to fraction form
    199.31/299.06 = 83.75/x
  3. Step 3: Cross multiply
    199.31x = 299.06 × 83.75
  4. Step 4: Simplify right side
    199.31x = 25,046.22
  5. Step 5: Solve for x
    x = 25,046.22/199.31
  6. Step 6: Final answer
    x = 125.67

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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.