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Finding the Fourth Proportional to 273.33, 377.01 and 178.83

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Solution

The fourth proportional to 273.33, 377.01 and 178.83 is: 246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.33 : 377.01 = 178.83 : x
  2. Step 2: Convert to fraction form
    273.33/377.01 = 178.83/x
  3. Step 3: Cross multiply
    273.33x = 377.01 × 178.83
  4. Step 4: Simplify right side
    273.33x = 67,420.70
  5. Step 5: Solve for x
    x = 67,420.70/273.33
  6. Step 6: Final answer
    x = 246.66

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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.