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Finding the Fourth Proportional to 200.87, 301.38 and 119.66

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Solution

The fourth proportional to 200.87, 301.38 and 119.66 is: 179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.87 : 301.38 = 119.66 : x
  2. Step 2: Convert to fraction form
    200.87/301.38 = 119.66/x
  3. Step 3: Cross multiply
    200.87x = 301.38 × 119.66
  4. Step 4: Simplify right side
    200.87x = 36,062.53
  5. Step 5: Solve for x
    x = 36,062.53/200.87
  6. Step 6: Final answer
    x = 179.54

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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.