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Finding the Fourth Proportional to 274.20, 410.85 and 165.77

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Solution

The fourth proportional to 274.20, 410.85 and 165.77 is: 248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.20 : 410.85 = 165.77 : x
  2. Step 2: Convert to fraction form
    274.20/410.85 = 165.77/x
  3. Step 3: Cross multiply
    274.20x = 410.85 × 165.77
  4. Step 4: Simplify right side
    274.20x = 68,105.58
  5. Step 5: Solve for x
    x = 68,105.58/274.20
  6. Step 6: Final answer
    x = 248.38

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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.