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Finding the Fourth Proportional to 199.91, 299.64 and 84.34

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Solution

The fourth proportional to 199.91, 299.64 and 84.34 is: 126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.91 : 299.64 = 84.34 : x
  2. Step 2: Convert to fraction form
    199.91/299.64 = 84.34/x
  3. Step 3: Cross multiply
    199.91x = 299.64 × 84.34
  4. Step 4: Simplify right side
    199.91x = 25,271.20
  5. Step 5: Solve for x
    x = 25,271.20/199.91
  6. Step 6: Final answer
    x = 126.41

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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.