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Finding the Fourth Proportional to 200, 299.60 and 180.08

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Solution

The fourth proportional to 200, 299.60 and 180.08 is: 269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200 : 299.60 = 180.08 : x
  2. Step 2: Convert to fraction form
    200/299.60 = 180.08/x
  3. Step 3: Cross multiply
    200x = 299.60 × 180.08
  4. Step 4: Simplify right side
    200x = 53,951.97
  5. Step 5: Solve for x
    x = 53,951.97/200
  6. Step 6: Final answer
    x = 269.76

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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.