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Finding the Fourth Proportional to 293.25, 439.96 and 171.62

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Solution

The fourth proportional to 293.25, 439.96 and 171.62 is: 257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.25 : 439.96 = 171.62 : x
  2. Step 2: Convert to fraction form
    293.25/439.96 = 171.62/x
  3. Step 3: Cross multiply
    293.25x = 439.96 × 171.62
  4. Step 4: Simplify right side
    293.25x = 75,503.31
  5. Step 5: Solve for x
    x = 75,503.31/293.25
  6. Step 6: Final answer
    x = 257.47

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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.