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Finding the Fourth Proportional to 183.54, 252.70 and 183

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Solution

The fourth proportional to 183.54, 252.70 and 183 is: 251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.54 : 252.70 = 183 : x
  2. Step 2: Convert to fraction form
    183.54/252.70 = 183/x
  3. Step 3: Cross multiply
    183.54x = 252.70 × 183
  4. Step 4: Simplify right side
    183.54x = 46,244.10
  5. Step 5: Solve for x
    x = 46,244.10/183.54
  6. Step 6: Final answer
    x = 251.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.