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Finding the Fourth Proportional to 183.22, 252.72 and 117.69

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Solution

The fourth proportional to 183.22, 252.72 and 117.69 is: 162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.22 : 252.72 = 117.69 : x
  2. Step 2: Convert to fraction form
    183.22/252.72 = 117.69/x
  3. Step 3: Cross multiply
    183.22x = 252.72 × 117.69
  4. Step 4: Simplify right side
    183.22x = 29,742.62
  5. Step 5: Solve for x
    x = 29,742.62/183.22
  6. Step 6: Final answer
    x = 162.33

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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.