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Finding the Fourth Proportional to 274.21, 378.32 and 169.19

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Solution

The fourth proportional to 274.21, 378.32 and 169.19 is: 233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.21 : 378.32 = 169.19 : x
  2. Step 2: Convert to fraction form
    274.21/378.32 = 169.19/x
  3. Step 3: Cross multiply
    274.21x = 378.32 × 169.19
  4. Step 4: Simplify right side
    274.21x = 64,007.96
  5. Step 5: Solve for x
    x = 64,007.96/274.21
  6. Step 6: Final answer
    x = 233.43

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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.