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Finding the Fourth Proportional to 274.35, 378.78 and 181.20

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Solution

The fourth proportional to 274.35, 378.78 and 181.20 is: 250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.35 : 378.78 = 181.20 : x
  2. Step 2: Convert to fraction form
    274.35/378.78 = 181.20/x
  3. Step 3: Cross multiply
    274.35x = 378.78 × 181.20
  4. Step 4: Simplify right side
    274.35x = 68,634.94
  5. Step 5: Solve for x
    x = 68,634.94/274.35
  6. Step 6: Final answer
    x = 250.17

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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.