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Finding the Fourth Proportional to 183.22, 252.80 and 113.38

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Solution

The fourth proportional to 183.22, 252.80 and 113.38 is: 156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.22 : 252.80 = 113.38 : x
  2. Step 2: Convert to fraction form
    183.22/252.80 = 113.38/x
  3. Step 3: Cross multiply
    183.22x = 252.80 × 113.38
  4. Step 4: Simplify right side
    183.22x = 28,662.46
  5. Step 5: Solve for x
    x = 28,662.46/183.22
  6. Step 6: Final answer
    x = 156.44

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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.