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Finding the Fourth Proportional to 182.36, 251.69 and 103.70

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Solution

The fourth proportional to 182.36, 251.69 and 103.70 is: 143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.36 : 251.69 = 103.70 : x
  2. Step 2: Convert to fraction form
    182.36/251.69 = 103.70/x
  3. Step 3: Cross multiply
    182.36x = 251.69 × 103.70
  4. Step 4: Simplify right side
    182.36x = 26,098.48
  5. Step 5: Solve for x
    x = 26,098.48/182.36
  6. Step 6: Final answer
    x = 143.12

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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.