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Finding the Fourth Proportional to 274, 378.24 and 180.88

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Solution

The fourth proportional to 274, 378.24 and 180.88 is: 249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    274 : 378.24 = 180.88 : x
  2. Step 2: Convert to fraction form
    274/378.24 = 180.88/x
  3. Step 3: Cross multiply
    274x = 378.24 × 180.88
  4. Step 4: Simplify right side
    274x = 68,416.05
  5. Step 5: Solve for x
    x = 68,416.05/274
  6. Step 6: Final answer
    x = 249.69

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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.