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Finding the Fourth Proportional to 274.19, 378.34 and 163.69

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Solution

The fourth proportional to 274.19, 378.34 and 163.69 is: 225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.19 : 378.34 = 163.69 : x
  2. Step 2: Convert to fraction form
    274.19/378.34 = 163.69/x
  3. Step 3: Cross multiply
    274.19x = 378.34 × 163.69
  4. Step 4: Simplify right side
    274.19x = 61,929.12
  5. Step 5: Solve for x
    x = 61,929.12/274.19
  6. Step 6: Final answer
    x = 225.87

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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.