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Finding the Fourth Proportional to 257.71, 355.50 and 169.21

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Solution

The fourth proportional to 257.71, 355.50 and 169.21 is: 233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.71 : 355.50 = 169.21 : x
  2. Step 2: Convert to fraction form
    257.71/355.50 = 169.21/x
  3. Step 3: Cross multiply
    257.71x = 355.50 × 169.21
  4. Step 4: Simplify right side
    257.71x = 60,153.59
  5. Step 5: Solve for x
    x = 60,153.59/257.71
  6. Step 6: Final answer
    x = 233.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.