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Finding the Fourth Proportional to 258.25, 355.96 and 179.68

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Solution

The fourth proportional to 258.25, 355.96 and 179.68 is: 247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.25 : 355.96 = 179.68 : x
  2. Step 2: Convert to fraction form
    258.25/355.96 = 179.68/x
  3. Step 3: Cross multiply
    258.25x = 355.96 × 179.68
  4. Step 4: Simplify right side
    258.25x = 63,958.89
  5. Step 5: Solve for x
    x = 63,958.89/258.25
  6. Step 6: Final answer
    x = 247.66

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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.