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Finding the Fourth Proportional to 199.71, 301.43 and 199.71

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Solution

The fourth proportional to 199.71, 301.43 and 199.71 is: 301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.71 : 301.43 = 199.71 : x
  2. Step 2: Convert to fraction form
    199.71/301.43 = 199.71/x
  3. Step 3: Cross multiply
    199.71x = 301.43 × 199.71
  4. Step 4: Simplify right side
    199.71x = 60,197.59
  5. Step 5: Solve for x
    x = 60,197.59/199.71
  6. Step 6: Final answer
    x = 301.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.