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Finding the Fourth Proportional to 263.67, 394.89 and 172.25

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Solution

The fourth proportional to 263.67, 394.89 and 172.25 is: 257.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.67 : 394.89 = 172.25 : x
  2. Step 2: Convert to fraction form
    263.67/394.89 = 172.25/x
  3. Step 3: Cross multiply
    263.67x = 394.89 × 172.25
  4. Step 4: Simplify right side
    263.67x = 68,017.83
  5. Step 5: Solve for x
    x = 68,017.83/263.67
  6. Step 6: Final answer
    x = 257.97

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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.