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Finding the Fourth Proportional to 263.43, 394.31 and 175.38

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Solution

The fourth proportional to 263.43, 394.31 and 175.38 is: 262.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.43 : 394.31 = 175.38 : x
  2. Step 2: Convert to fraction form
    263.43/394.31 = 175.38/x
  3. Step 3: Cross multiply
    263.43x = 394.31 × 175.38
  4. Step 4: Simplify right side
    263.43x = 69,154.09
  5. Step 5: Solve for x
    x = 69,154.09/263.43
  6. Step 6: Final answer
    x = 262.51

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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.