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Finding the Fourth Proportional to 183.69, 252.84 and 160.33

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Solution

The fourth proportional to 183.69, 252.84 and 160.33 is: 220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.69 : 252.84 = 160.33 : x
  2. Step 2: Convert to fraction form
    183.69/252.84 = 160.33/x
  3. Step 3: Cross multiply
    183.69x = 252.84 × 160.33
  4. Step 4: Simplify right side
    183.69x = 40,537.84
  5. Step 5: Solve for x
    x = 40,537.84/183.69
  6. Step 6: Final answer
    x = 220.69

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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.