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Finding the Fourth Proportional to 274.27, 378.51 and 163.75

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Solution

The fourth proportional to 274.27, 378.51 and 163.75 is: 225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.27 : 378.51 = 163.75 : x
  2. Step 2: Convert to fraction form
    274.27/378.51 = 163.75/x
  3. Step 3: Cross multiply
    274.27x = 378.51 × 163.75
  4. Step 4: Simplify right side
    274.27x = 61,981.01
  5. Step 5: Solve for x
    x = 61,981.01/274.27
  6. Step 6: Final answer
    x = 225.99

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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.