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Finding the Fourth Proportional to 257.47, 355.44 and 164.35

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Solution

The fourth proportional to 257.47, 355.44 and 164.35 is: 226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.47 : 355.44 = 164.35 : x
  2. Step 2: Convert to fraction form
    257.47/355.44 = 164.35/x
  3. Step 3: Cross multiply
    257.47x = 355.44 × 164.35
  4. Step 4: Simplify right side
    257.47x = 58,416.56
  5. Step 5: Solve for x
    x = 58,416.56/257.47
  6. Step 6: Final answer
    x = 226.89

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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.