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Finding the Fourth Proportional to 263.84, 395.24 and 181.37

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Solution

The fourth proportional to 263.84, 395.24 and 181.37 is: 271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.84 : 395.24 = 181.37 : x
  2. Step 2: Convert to fraction form
    263.84/395.24 = 181.37/x
  3. Step 3: Cross multiply
    263.84x = 395.24 × 181.37
  4. Step 4: Simplify right side
    263.84x = 71,684.76
  5. Step 5: Solve for x
    x = 71,684.76/263.84
  6. Step 6: Final answer
    x = 271.70

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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.