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Finding the Fourth Proportional to 274.14, 410.94 and 111.72

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Solution

The fourth proportional to 274.14, 410.94 and 111.72 is: 167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.14 : 410.94 = 111.72 : x
  2. Step 2: Convert to fraction form
    274.14/410.94 = 111.72/x
  3. Step 3: Cross multiply
    274.14x = 410.94 × 111.72
  4. Step 4: Simplify right side
    274.14x = 45,910.22
  5. Step 5: Solve for x
    x = 45,910.22/274.14
  6. Step 6: Final answer
    x = 167.47

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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.