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Finding the Fourth Proportional to 354.41, 531.23 and 171.57

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Solution

The fourth proportional to 354.41, 531.23 and 171.57 is: 257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.41 : 531.23 = 171.57 : x
  2. Step 2: Convert to fraction form
    354.41/531.23 = 171.57/x
  3. Step 3: Cross multiply
    354.41x = 531.23 × 171.57
  4. Step 4: Simplify right side
    354.41x = 91,142.27
  5. Step 5: Solve for x
    x = 91,142.27/354.41
  6. Step 6: Final answer
    x = 257.17

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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.