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Finding the Fourth Proportional to 200.31, 300.50 and 109.02

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Solution

The fourth proportional to 200.31, 300.50 and 109.02 is: 163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.31 : 300.50 = 109.02 : x
  2. Step 2: Convert to fraction form
    200.31/300.50 = 109.02/x
  3. Step 3: Cross multiply
    200.31x = 300.50 × 109.02
  4. Step 4: Simplify right side
    200.31x = 32,759.96
  5. Step 5: Solve for x
    x = 32,759.96/200.31
  6. Step 6: Final answer
    x = 163.55

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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.