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Finding the Fourth Proportional to 274.29, 378.57 and 163.83

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Solution

The fourth proportional to 274.29, 378.57 and 163.83 is: 226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.29 : 378.57 = 163.83 : x
  2. Step 2: Convert to fraction form
    274.29/378.57 = 163.83/x
  3. Step 3: Cross multiply
    274.29x = 378.57 × 163.83
  4. Step 4: Simplify right side
    274.29x = 62,021.12
  5. Step 5: Solve for x
    x = 62,021.12/274.29
  6. Step 6: Final answer
    x = 226.12

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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.