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Finding the Fourth Proportional to 273.86, 378.18 and 175.82

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Solution

The fourth proportional to 273.86, 378.18 and 175.82 is: 242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.86 : 378.18 = 175.82 : x
  2. Step 2: Convert to fraction form
    273.86/378.18 = 175.82/x
  3. Step 3: Cross multiply
    273.86x = 378.18 × 175.82
  4. Step 4: Simplify right side
    273.86x = 66,491.61
  5. Step 5: Solve for x
    x = 66,491.61/273.86
  6. Step 6: Final answer
    x = 242.79

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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.