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Finding the Fourth Proportional to 200.31, 276.43 and 122.69

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Solution

The fourth proportional to 200.31, 276.43 and 122.69 is: 169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.31 : 276.43 = 122.69 : x
  2. Step 2: Convert to fraction form
    200.31/276.43 = 122.69/x
  3. Step 3: Cross multiply
    200.31x = 276.43 × 122.69
  4. Step 4: Simplify right side
    200.31x = 33,914.81
  5. Step 5: Solve for x
    x = 33,914.81/200.31
  6. Step 6: Final answer
    x = 169.31

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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.