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Finding the Fourth Proportional to 263.16, 394.56 and 171.90

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Solution

The fourth proportional to 263.16, 394.56 and 171.90 is: 257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.16 : 394.56 = 171.90 : x
  2. Step 2: Convert to fraction form
    263.16/394.56 = 171.90/x
  3. Step 3: Cross multiply
    263.16x = 394.56 × 171.90
  4. Step 4: Simplify right side
    263.16x = 67,824.86
  5. Step 5: Solve for x
    x = 67,824.86/263.16
  6. Step 6: Final answer
    x = 257.73

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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.