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Finding the Fourth Proportional to 183.63, 274.28 and 163.47

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Solution

The fourth proportional to 183.63, 274.28 and 163.47 is: 244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.63 : 274.28 = 163.47 : x
  2. Step 2: Convert to fraction form
    183.63/274.28 = 163.47/x
  3. Step 3: Cross multiply
    183.63x = 274.28 × 163.47
  4. Step 4: Simplify right side
    183.63x = 44,835.73
  5. Step 5: Solve for x
    x = 44,835.73/183.63
  6. Step 6: Final answer
    x = 244.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.