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Finding the Fourth Proportional to 182.75, 252.19 and 99.86

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Solution

The fourth proportional to 182.75, 252.19 and 99.86 is: 137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.75 : 252.19 = 99.86 : x
  2. Step 2: Convert to fraction form
    182.75/252.19 = 99.86/x
  3. Step 3: Cross multiply
    182.75x = 252.19 × 99.86
  4. Step 4: Simplify right side
    182.75x = 25,183.19
  5. Step 5: Solve for x
    x = 25,183.19/182.75
  6. Step 6: Final answer
    x = 137.80

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Why These Related Problems?

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