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Finding the Fourth Proportional to 183.63, 275.16 and 163.38

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Solution

The fourth proportional to 183.63, 275.16 and 163.38 is: 244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.63 : 275.16 = 163.38 : x
  2. Step 2: Convert to fraction form
    183.63/275.16 = 163.38/x
  3. Step 3: Cross multiply
    183.63x = 275.16 × 163.38
  4. Step 4: Simplify right side
    183.63x = 44,955.64
  5. Step 5: Solve for x
    x = 44,955.64/183.63
  6. Step 6: Final answer
    x = 244.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.