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Finding the Fourth Proportional to 273.52, 376.92 and 180.16

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Solution

The fourth proportional to 273.52, 376.92 and 180.16 is: 248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.52 : 376.92 = 180.16 : x
  2. Step 2: Convert to fraction form
    273.52/376.92 = 180.16/x
  3. Step 3: Cross multiply
    273.52x = 376.92 × 180.16
  4. Step 4: Simplify right side
    273.52x = 67,905.91
  5. Step 5: Solve for x
    x = 67,905.91/273.52
  6. Step 6: Final answer
    x = 248.27

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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.