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Finding the Fourth Proportional to 200.18, 299.69 and 180.97

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Solution

The fourth proportional to 200.18, 299.69 and 180.97 is: 270.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.18 : 299.69 = 180.97 : x
  2. Step 2: Convert to fraction form
    200.18/299.69 = 180.97/x
  3. Step 3: Cross multiply
    200.18x = 299.69 × 180.97
  4. Step 4: Simplify right side
    200.18x = 54,233.92
  5. Step 5: Solve for x
    x = 54,233.92/200.18
  6. Step 6: Final answer
    x = 270.92

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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.