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Finding the Fourth Proportional to 353.82, 531 and 171.42

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Solution

The fourth proportional to 353.82, 531 and 171.42 is: 257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.82 : 531 = 171.42 : x
  2. Step 2: Convert to fraction form
    353.82/531 = 171.42/x
  3. Step 3: Cross multiply
    353.82x = 531 × 171.42
  4. Step 4: Simplify right side
    353.82x = 91,024.02
  5. Step 5: Solve for x
    x = 91,024.02/353.82
  6. Step 6: Final answer
    x = 257.26

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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.