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Finding the Fourth Proportional to 274.34, 410.85 and 200.02

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Solution

The fourth proportional to 274.34, 410.85 and 200.02 is: 299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.34 : 410.85 = 200.02 : x
  2. Step 2: Convert to fraction form
    274.34/410.85 = 200.02/x
  3. Step 3: Cross multiply
    274.34x = 410.85 × 200.02
  4. Step 4: Simplify right side
    274.34x = 82,175.66
  5. Step 5: Solve for x
    x = 82,175.66/274.34
  6. Step 6: Final answer
    x = 299.54

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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.