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Finding the Fourth Proportional to 273.12, 376.74 and 185.82

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Solution

The fourth proportional to 273.12, 376.74 and 185.82 is: 256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.12 : 376.74 = 185.82 : x
  2. Step 2: Convert to fraction form
    273.12/376.74 = 185.82/x
  3. Step 3: Cross multiply
    273.12x = 376.74 × 185.82
  4. Step 4: Simplify right side
    273.12x = 70,005.83
  5. Step 5: Solve for x
    x = 70,005.83/273.12
  6. Step 6: Final answer
    x = 256.32

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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.