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Finding the Fourth Proportional to 239.96, 359.64 and 171.62

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Solution

The fourth proportional to 239.96, 359.64 and 171.62 is: 257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.96 : 359.64 = 171.62 : x
  2. Step 2: Convert to fraction form
    239.96/359.64 = 171.62/x
  3. Step 3: Cross multiply
    239.96x = 359.64 × 171.62
  4. Step 4: Simplify right side
    239.96x = 61,720.97
  5. Step 5: Solve for x
    x = 61,720.97/239.96
  6. Step 6: Final answer
    x = 257.21

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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.