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Finding the Fourth Proportional to 273.90, 378.09 and 169.01

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Solution

The fourth proportional to 273.90, 378.09 and 169.01 is: 233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.90 : 378.09 = 169.01 : x
  2. Step 2: Convert to fraction form
    273.90/378.09 = 169.01/x
  3. Step 3: Cross multiply
    273.90x = 378.09 × 169.01
  4. Step 4: Simplify right side
    273.90x = 63,898.26
  5. Step 5: Solve for x
    x = 63,898.26/273.90
  6. Step 6: Final answer
    x = 233.29

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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.