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Finding the Fourth Proportional to 199.23, 274.91 and 137.22

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Solution

The fourth proportional to 199.23, 274.91 and 137.22 is: 189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.23 : 274.91 = 137.22 : x
  2. Step 2: Convert to fraction form
    199.23/274.91 = 137.22/x
  3. Step 3: Cross multiply
    199.23x = 274.91 × 137.22
  4. Step 4: Simplify right side
    199.23x = 37,723.49
  5. Step 5: Solve for x
    x = 37,723.49/199.23
  6. Step 6: Final answer
    x = 189.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.