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Finding the Fourth Proportional to 257.14, 354.90 and 163.81

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Solution

The fourth proportional to 257.14, 354.90 and 163.81 is: 226.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.14 : 354.90 = 163.81 : x
  2. Step 2: Convert to fraction form
    257.14/354.90 = 163.81/x
  3. Step 3: Cross multiply
    257.14x = 354.90 × 163.81
  4. Step 4: Simplify right side
    257.14x = 58,136.17
  5. Step 5: Solve for x
    x = 58,136.17/257.14
  6. Step 6: Final answer
    x = 226.09

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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.