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Finding the Fourth Proportional to 183.22, 252.80 and 113.22

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Solution

The fourth proportional to 183.22, 252.80 and 113.22 is: 156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.22 : 252.80 = 113.22 : x
  2. Step 2: Convert to fraction form
    183.22/252.80 = 113.22/x
  3. Step 3: Cross multiply
    183.22x = 252.80 × 113.22
  4. Step 4: Simplify right side
    183.22x = 28,622.02
  5. Step 5: Solve for x
    x = 28,622.02/183.22
  6. Step 6: Final answer
    x = 156.22

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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.