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Finding the Fourth Proportional to 257.08, 354.73 and 163.66

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Solution

The fourth proportional to 257.08, 354.73 and 163.66 is: 225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.08 : 354.73 = 163.66 : x
  2. Step 2: Convert to fraction form
    257.08/354.73 = 163.66/x
  3. Step 3: Cross multiply
    257.08x = 354.73 × 163.66
  4. Step 4: Simplify right side
    257.08x = 58,055.11
  5. Step 5: Solve for x
    x = 58,055.11/257.08
  6. Step 6: Final answer
    x = 225.83

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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.