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Finding the Fourth Proportional to 263.43, 395.17 and 160.67

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Solution

The fourth proportional to 263.43, 395.17 and 160.67 is: 241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.43 : 395.17 = 160.67 : x
  2. Step 2: Convert to fraction form
    263.43/395.17 = 160.67/x
  3. Step 3: Cross multiply
    263.43x = 395.17 × 160.67
  4. Step 4: Simplify right side
    263.43x = 63,490.39
  5. Step 5: Solve for x
    x = 63,490.39/263.43
  6. Step 6: Final answer
    x = 241.01

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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.