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Finding the Fourth Proportional to 257.51, 355.49 and 164.34

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Solution

The fourth proportional to 257.51, 355.49 and 164.34 is: 226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.51 : 355.49 = 164.34 : x
  2. Step 2: Convert to fraction form
    257.51/355.49 = 164.34/x
  3. Step 3: Cross multiply
    257.51x = 355.49 × 164.34
  4. Step 4: Simplify right side
    257.51x = 58,420.40
  5. Step 5: Solve for x
    x = 58,420.40/257.51
  6. Step 6: Final answer
    x = 226.87

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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.