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Finding the Fourth Proportional to 200.09, 299.91 and 131.66

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Solution

The fourth proportional to 200.09, 299.91 and 131.66 is: 197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.09 : 299.91 = 131.66 : x
  2. Step 2: Convert to fraction form
    200.09/299.91 = 131.66/x
  3. Step 3: Cross multiply
    200.09x = 299.91 × 131.66
  4. Step 4: Simplify right side
    200.09x = 39,484.65
  5. Step 5: Solve for x
    x = 39,484.65/200.09
  6. Step 6: Final answer
    x = 197.34

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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.