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Finding the Fourth Proportional to 200.58, 300.87 and 119.22

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Solution

The fourth proportional to 200.58, 300.87 and 119.22 is: 178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.58 : 300.87 = 119.22 : x
  2. Step 2: Convert to fraction form
    200.58/300.87 = 119.22/x
  3. Step 3: Cross multiply
    200.58x = 300.87 × 119.22
  4. Step 4: Simplify right side
    200.58x = 35,869.72
  5. Step 5: Solve for x
    x = 35,869.72/200.58
  6. Step 6: Final answer
    x = 178.83

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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.