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Finding the Fourth Proportional to 274.23, 410.69 and 199.91

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Solution

The fourth proportional to 274.23, 410.69 and 199.91 is: 299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.23 : 410.69 = 199.91 : x
  2. Step 2: Convert to fraction form
    274.23/410.69 = 199.91/x
  3. Step 3: Cross multiply
    274.23x = 410.69 × 199.91
  4. Step 4: Simplify right side
    274.23x = 82,101.80
  5. Step 5: Solve for x
    x = 82,101.80/274.23
  6. Step 6: Final answer
    x = 299.39

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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.