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Finding the Fourth Proportional to 274.28, 378.50 and 181.18

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Solution

The fourth proportional to 274.28, 378.50 and 181.18 is: 250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.28 : 378.50 = 181.18 : x
  2. Step 2: Convert to fraction form
    274.28/378.50 = 181.18/x
  3. Step 3: Cross multiply
    274.28x = 378.50 × 181.18
  4. Step 4: Simplify right side
    274.28x = 68,573.83
  5. Step 5: Solve for x
    x = 68,573.83/274.28
  6. Step 6: Final answer
    x = 250.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.