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Finding the Fourth Proportional to 199.26, 274.99 and 120.58

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Solution

The fourth proportional to 199.26, 274.99 and 120.58 is: 166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.26 : 274.99 = 120.58 : x
  2. Step 2: Convert to fraction form
    199.26/274.99 = 120.58/x
  3. Step 3: Cross multiply
    199.26x = 274.99 × 120.58
  4. Step 4: Simplify right side
    199.26x = 33,158.29
  5. Step 5: Solve for x
    x = 33,158.29/199.26
  6. Step 6: Final answer
    x = 166.41

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