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Finding the Fourth Proportional to 183.46, 252.69 and 142.01

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Solution

The fourth proportional to 183.46, 252.69 and 142.01 is: 195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.46 : 252.69 = 142.01 : x
  2. Step 2: Convert to fraction form
    183.46/252.69 = 142.01/x
  3. Step 3: Cross multiply
    183.46x = 252.69 × 142.01
  4. Step 4: Simplify right side
    183.46x = 35,884.51
  5. Step 5: Solve for x
    x = 35,884.51/183.46
  6. Step 6: Final answer
    x = 195.60

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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.