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Finding the Fourth Proportional to 263.86, 395.43 and 160.90

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Solution

The fourth proportional to 263.86, 395.43 and 160.90 is: 241.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.86 : 395.43 = 160.90 : x
  2. Step 2: Convert to fraction form
    263.86/395.43 = 160.90/x
  3. Step 3: Cross multiply
    263.86x = 395.43 × 160.90
  4. Step 4: Simplify right side
    263.86x = 63,624.69
  5. Step 5: Solve for x
    x = 63,624.69/263.86
  6. Step 6: Final answer
    x = 241.13

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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.