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Finding the Fourth Proportional to 257.72, 355.47 and 164.37

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Solution

The fourth proportional to 257.72, 355.47 and 164.37 is: 226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.72 : 355.47 = 164.37 : x
  2. Step 2: Convert to fraction form
    257.72/355.47 = 164.37/x
  3. Step 3: Cross multiply
    257.72x = 355.47 × 164.37
  4. Step 4: Simplify right side
    257.72x = 58,428.60
  5. Step 5: Solve for x
    x = 58,428.60/257.72
  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.