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Finding the Fourth Proportional to 269, 370.82 and 250.64

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Solution

The fourth proportional to 269, 370.82 and 250.64 is: 345.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    269 : 370.82 = 250.64 : x
  2. Step 2: Convert to fraction form
    269/370.82 = 250.64/x
  3. Step 3: Cross multiply
    269x = 370.82 × 250.64
  4. Step 4: Simplify right side
    269x = 92,942.32
  5. Step 5: Solve for x
    x = 92,942.32/269
  6. Step 6: Final answer
    x = 345.51

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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.