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Finding the Fourth Proportional to 200.35, 300.46 and 102.82

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Solution

The fourth proportional to 200.35, 300.46 and 102.82 is: 154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.35 : 300.46 = 102.82 : x
  2. Step 2: Convert to fraction form
    200.35/300.46 = 102.82/x
  3. Step 3: Cross multiply
    200.35x = 300.46 × 102.82
  4. Step 4: Simplify right side
    200.35x = 30,893.05
  5. Step 5: Solve for x
    x = 30,893.05/200.35
  6. Step 6: Final answer
    x = 154.20

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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.