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Finding the Fourth Proportional to 273.89, 377.80 and 175.68

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Solution

The fourth proportional to 273.89, 377.80 and 175.68 is: 242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.89 : 377.80 = 175.68 : x
  2. Step 2: Convert to fraction form
    273.89/377.80 = 175.68/x
  3. Step 3: Cross multiply
    273.89x = 377.80 × 175.68
  4. Step 4: Simplify right side
    273.89x = 66,371.46
  5. Step 5: Solve for x
    x = 66,371.46/273.89
  6. Step 6: Final answer
    x = 242.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.