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Finding the Fourth Proportional to 200.25, 300.83 and 119.14

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Solution

The fourth proportional to 200.25, 300.83 and 119.14 is: 178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.25 : 300.83 = 119.14 : x
  2. Step 2: Convert to fraction form
    200.25/300.83 = 119.14/x
  3. Step 3: Cross multiply
    200.25x = 300.83 × 119.14
  4. Step 4: Simplify right side
    200.25x = 35,840.89
  5. Step 5: Solve for x
    x = 35,840.89/200.25
  6. Step 6: Final answer
    x = 178.98

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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.