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Finding the Fourth Proportional to 183.57, 275.33 and 61.83

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Solution

The fourth proportional to 183.57, 275.33 and 61.83 is: 92.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.57 : 275.33 = 61.83 : x
  2. Step 2: Convert to fraction form
    183.57/275.33 = 61.83/x
  3. Step 3: Cross multiply
    183.57x = 275.33 × 61.83
  4. Step 4: Simplify right side
    183.57x = 17,021.97
  5. Step 5: Solve for x
    x = 17,021.97/183.57
  6. Step 6: Final answer
    x = 92.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.