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Finding the Fourth Proportional to 200.25, 300.50 and 86.25

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Solution

The fourth proportional to 200.25, 300.50 and 86.25 is: 129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.25 : 300.50 = 86.25 : x
  2. Step 2: Convert to fraction form
    200.25/300.50 = 86.25/x
  3. Step 3: Cross multiply
    200.25x = 300.50 × 86.25
  4. Step 4: Simplify right side
    200.25x = 25,917.69
  5. Step 5: Solve for x
    x = 25,917.69/200.25
  6. Step 6: Final answer
    x = 129.43

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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.