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Finding the Fourth Proportional to 199.87, 299.81 and 177.97

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Solution

The fourth proportional to 199.87, 299.81 and 177.97 is: 266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.87 : 299.81 = 177.97 : x
  2. Step 2: Convert to fraction form
    199.87/299.81 = 177.97/x
  3. Step 3: Cross multiply
    199.87x = 299.81 × 177.97
  4. Step 4: Simplify right side
    199.87x = 53,357.19
  5. Step 5: Solve for x
    x = 53,357.19/199.87
  6. Step 6: Final answer
    x = 266.96

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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.