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Finding the Fourth Proportional to 200.75, 300.71 and 132.10

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Solution

The fourth proportional to 200.75, 300.71 and 132.10 is: 197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.75 : 300.71 = 132.10 : x
  2. Step 2: Convert to fraction form
    200.75/300.71 = 132.10/x
  3. Step 3: Cross multiply
    200.75x = 300.71 × 132.10
  4. Step 4: Simplify right side
    200.75x = 39,723.37
  5. Step 5: Solve for x
    x = 39,723.37/200.75
  6. Step 6: Final answer
    x = 197.88

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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.