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Finding the Fourth Proportional to 257.60, 355.38 and 164.34

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Solution

The fourth proportional to 257.60, 355.38 and 164.34 is: 226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.60 : 355.38 = 164.34 : x
  2. Step 2: Convert to fraction form
    257.60/355.38 = 164.34/x
  3. Step 3: Cross multiply
    257.60x = 355.38 × 164.34
  4. Step 4: Simplify right side
    257.60x = 58,403.15
  5. Step 5: Solve for x
    x = 58,403.15/257.60
  6. Step 6: Final answer
    x = 226.72

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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.