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Finding the Fourth Proportional to 200.87, 300.83 and 154.84

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Solution

The fourth proportional to 200.87, 300.83 and 154.84 is: 231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.87 : 300.83 = 154.84 : x
  2. Step 2: Convert to fraction form
    200.87/300.83 = 154.84/x
  3. Step 3: Cross multiply
    200.87x = 300.83 × 154.84
  4. Step 4: Simplify right side
    200.87x = 46,578.24
  5. Step 5: Solve for x
    x = 46,578.24/200.87
  6. Step 6: Final answer
    x = 231.88

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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.