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Finding the Fourth Proportional to 249.26, 343.74 and 165.10

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Solution

The fourth proportional to 249.26, 343.74 and 165.10 is: 227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.26 : 343.74 = 165.10 : x
  2. Step 2: Convert to fraction form
    249.26/343.74 = 165.10/x
  3. Step 3: Cross multiply
    249.26x = 343.74 × 165.10
  4. Step 4: Simplify right side
    249.26x = 56,750.65
  5. Step 5: Solve for x
    x = 56,750.65/249.26
  6. Step 6: Final answer
    x = 227.68

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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.