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Finding the Fourth Proportional to 199.80, 299.70 and 179.55

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Solution

The fourth proportional to 199.80, 299.70 and 179.55 is: 269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.80 : 299.70 = 179.55 : x
  2. Step 2: Convert to fraction form
    199.80/299.70 = 179.55/x
  3. Step 3: Cross multiply
    199.80x = 299.70 × 179.55
  4. Step 4: Simplify right side
    199.80x = 53,811.14
  5. Step 5: Solve for x
    x = 53,811.14/199.80
  6. Step 6: Final answer
    x = 269.33

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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.