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Finding the Fourth Proportional to 274.61, 378.86 and 181.40

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Solution

The fourth proportional to 274.61, 378.86 and 181.40 is: 250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.61 : 378.86 = 181.40 : x
  2. Step 2: Convert to fraction form
    274.61/378.86 = 181.40/x
  3. Step 3: Cross multiply
    274.61x = 378.86 × 181.40
  4. Step 4: Simplify right side
    274.61x = 68,725.20
  5. Step 5: Solve for x
    x = 68,725.20/274.61
  6. Step 6: Final answer
    x = 250.26

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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.