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Finding the Fourth Proportional to 262.78, 394.32 and 171.48

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Solution

The fourth proportional to 262.78, 394.32 and 171.48 is: 257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.78 : 394.32 = 171.48 : x
  2. Step 2: Convert to fraction form
    262.78/394.32 = 171.48/x
  3. Step 3: Cross multiply
    262.78x = 394.32 × 171.48
  4. Step 4: Simplify right side
    262.78x = 67,617.99
  5. Step 5: Solve for x
    x = 67,617.99/262.78
  6. Step 6: Final answer
    x = 257.32

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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.