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Finding the Fourth Proportional to 199, 272.81 and 184.36

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Solution

The fourth proportional to 199, 272.81 and 184.36 is: 252.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199 : 272.81 = 184.36 : x
  2. Step 2: Convert to fraction form
    199/272.81 = 184.36/x
  3. Step 3: Cross multiply
    199x = 272.81 × 184.36
  4. Step 4: Simplify right side
    199x = 50,295.25
  5. Step 5: Solve for x
    x = 50,295.25/199
  6. Step 6: Final answer
    x = 252.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.