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Finding the Fourth Proportional to 274.45, 378.80 and 181.21

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Solution

The fourth proportional to 274.45, 378.80 and 181.21 is: 250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.45 : 378.80 = 181.21 : x
  2. Step 2: Convert to fraction form
    274.45/378.80 = 181.21/x
  3. Step 3: Cross multiply
    274.45x = 378.80 × 181.21
  4. Step 4: Simplify right side
    274.45x = 68,642.90
  5. Step 5: Solve for x
    x = 68,642.90/274.45
  6. Step 6: Final answer
    x = 250.11

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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.