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Finding the Fourth Proportional to 273.83, 377.96 and 175.57

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Solution

The fourth proportional to 273.83, 377.96 and 175.57 is: 242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.83 : 377.96 = 175.57 : x
  2. Step 2: Convert to fraction form
    273.83/377.96 = 175.57/x
  3. Step 3: Cross multiply
    273.83x = 377.96 × 175.57
  4. Step 4: Simplify right side
    273.83x = 66,356.61
  5. Step 5: Solve for x
    x = 66,356.61/273.83
  6. Step 6: Final answer
    x = 242.33

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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.