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Finding the Fourth Proportional to 273.34, 377.13 and 169.84

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Solution

The fourth proportional to 273.34, 377.13 and 169.84 is: 234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.34 : 377.13 = 169.84 : x
  2. Step 2: Convert to fraction form
    273.34/377.13 = 169.84/x
  3. Step 3: Cross multiply
    273.34x = 377.13 × 169.84
  4. Step 4: Simplify right side
    273.34x = 64,051.76
  5. Step 5: Solve for x
    x = 64,051.76/273.34
  6. Step 6: Final answer
    x = 234.33

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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.