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Finding the Fourth Proportional to 183.02, 252.67 and 136.33

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Solution

The fourth proportional to 183.02, 252.67 and 136.33 is: 188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.02 : 252.67 = 136.33 : x
  2. Step 2: Convert to fraction form
    183.02/252.67 = 136.33/x
  3. Step 3: Cross multiply
    183.02x = 252.67 × 136.33
  4. Step 4: Simplify right side
    183.02x = 34,446.50
  5. Step 5: Solve for x
    x = 34,446.50/183.02
  6. Step 6: Final answer
    x = 188.21

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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.