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Finding the Fourth Proportional to 183.33, 252.90 and 116.92

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Solution

The fourth proportional to 183.33, 252.90 and 116.92 is: 161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.33 : 252.90 = 116.92 : x
  2. Step 2: Convert to fraction form
    183.33/252.90 = 116.92/x
  3. Step 3: Cross multiply
    183.33x = 252.90 × 116.92
  4. Step 4: Simplify right side
    183.33x = 29,569.07
  5. Step 5: Solve for x
    x = 29,569.07/183.33
  6. Step 6: Final answer
    x = 161.29

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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.