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Finding the Fourth Proportional to 263.84, 395.64 and 161.24

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Solution

The fourth proportional to 263.84, 395.64 and 161.24 is: 241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.84 : 395.64 = 161.24 : x
  2. Step 2: Convert to fraction form
    263.84/395.64 = 161.24/x
  3. Step 3: Cross multiply
    263.84x = 395.64 × 161.24
  4. Step 4: Simplify right side
    263.84x = 63,792.99
  5. Step 5: Solve for x
    x = 63,792.99/263.84
  6. Step 6: Final answer
    x = 241.79

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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.