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Finding the Fourth Proportional to 263.24, 393.96 and 171.80

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Solution

The fourth proportional to 263.24, 393.96 and 171.80 is: 257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.24 : 393.96 = 171.80 : x
  2. Step 2: Convert to fraction form
    263.24/393.96 = 171.80/x
  3. Step 3: Cross multiply
    263.24x = 393.96 × 171.80
  4. Step 4: Simplify right side
    263.24x = 67,682.33
  5. Step 5: Solve for x
    x = 67,682.33/263.24
  6. Step 6: Final answer
    x = 257.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.