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Finding the Fourth Proportional to 182.57, 251.89 and 103.87

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Solution

The fourth proportional to 182.57, 251.89 and 103.87 is: 143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.57 : 251.89 = 103.87 : x
  2. Step 2: Convert to fraction form
    182.57/251.89 = 103.87/x
  3. Step 3: Cross multiply
    182.57x = 251.89 × 103.87
  4. Step 4: Simplify right side
    182.57x = 26,163.81
  5. Step 5: Solve for x
    x = 26,163.81/182.57
  6. Step 6: Final answer
    x = 143.31

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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.