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Finding the Fourth Proportional to 257.66, 355.34 and 164.30

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Solution

The fourth proportional to 257.66, 355.34 and 164.30 is: 226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.66 : 355.34 = 164.30 : x
  2. Step 2: Convert to fraction form
    257.66/355.34 = 164.30/x
  3. Step 3: Cross multiply
    257.66x = 355.34 × 164.30
  4. Step 4: Simplify right side
    257.66x = 58,382.36
  5. Step 5: Solve for x
    x = 58,382.36/257.66
  6. Step 6: Final answer
    x = 226.59

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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.