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Finding the Fourth Proportional to 274.14, 411.32 and 119.99

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Solution

The fourth proportional to 274.14, 411.32 and 119.99 is: 180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.14 : 411.32 = 119.99 : x
  2. Step 2: Convert to fraction form
    274.14/411.32 = 119.99/x
  3. Step 3: Cross multiply
    274.14x = 411.32 × 119.99
  4. Step 4: Simplify right side
    274.14x = 49,354.29
  5. Step 5: Solve for x
    x = 49,354.29/274.14
  6. Step 6: Final answer
    x = 180.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.