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Finding the Fourth Proportional to 811, 1,216.50 and 203

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Solution

The fourth proportional to 811, 1,216.50 and 203 is: 304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    811 : 1,216.50 = 203 : x
  2. Step 2: Convert to fraction form
    811/1,216.50 = 203/x
  3. Step 3: Cross multiply
    811x = 1,216.50 × 203
  4. Step 4: Simplify right side
    811x = 246,949.50
  5. Step 5: Solve for x
    x = 246,949.50/811
  6. Step 6: Final answer
    x = 304.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.