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Finding the Fourth Proportional to 273.82, 377.84 and 175.54

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Solution

The fourth proportional to 273.82, 377.84 and 175.54 is: 242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.82 : 377.84 = 175.54 : x
  2. Step 2: Convert to fraction form
    273.82/377.84 = 175.54/x
  3. Step 3: Cross multiply
    273.82x = 377.84 × 175.54
  4. Step 4: Simplify right side
    273.82x = 66,326.03
  5. Step 5: Solve for x
    x = 66,326.03/273.82
  6. Step 6: Final answer
    x = 242.22

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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.