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Finding the Fourth Proportional to 199.24, 274.84 and 137.04

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Solution

The fourth proportional to 199.24, 274.84 and 137.04 is: 189.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.24 : 274.84 = 137.04 : x
  2. Step 2: Convert to fraction form
    199.24/274.84 = 137.04/x
  3. Step 3: Cross multiply
    199.24x = 274.84 × 137.04
  4. Step 4: Simplify right side
    199.24x = 37,665.02
  5. Step 5: Solve for x
    x = 37,665.02/199.24
  6. Step 6: Final answer
    x = 189.04

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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.