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Finding the Fourth Proportional to 258.17, 356.25 and 164.91

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Solution

The fourth proportional to 258.17, 356.25 and 164.91 is: 227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.17 : 356.25 = 164.91 : x
  2. Step 2: Convert to fraction form
    258.17/356.25 = 164.91/x
  3. Step 3: Cross multiply
    258.17x = 356.25 × 164.91
  4. Step 4: Simplify right side
    258.17x = 58,749.19
  5. Step 5: Solve for x
    x = 58,749.19/258.17
  6. Step 6: Final answer
    x = 227.56

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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.