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Finding the Fourth Proportional to 274.44, 378.68 and 174.80

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Solution

The fourth proportional to 274.44, 378.68 and 174.80 is: 241.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.44 : 378.68 = 174.80 : x
  2. Step 2: Convert to fraction form
    274.44/378.68 = 174.80/x
  3. Step 3: Cross multiply
    274.44x = 378.68 × 174.80
  4. Step 4: Simplify right side
    274.44x = 66,193.26
  5. Step 5: Solve for x
    x = 66,193.26/274.44
  6. Step 6: Final answer
    x = 241.19

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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.