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Finding the Fourth Proportional to 274.82, 378.99 and 175.19

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Solution

The fourth proportional to 274.82, 378.99 and 175.19 is: 241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.82 : 378.99 = 175.19 : x
  2. Step 2: Convert to fraction form
    274.82/378.99 = 175.19/x
  3. Step 3: Cross multiply
    274.82x = 378.99 × 175.19
  4. Step 4: Simplify right side
    274.82x = 66,393.36
  5. Step 5: Solve for x
    x = 66,393.36/274.82
  6. Step 6: Final answer
    x = 241.59

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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.