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Finding the Fourth Proportional to 258.06, 355.51 and 213.62

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Solution

The fourth proportional to 258.06, 355.51 and 213.62 is: 294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.06 : 355.51 = 213.62 : x
  2. Step 2: Convert to fraction form
    258.06/355.51 = 213.62/x
  3. Step 3: Cross multiply
    258.06x = 355.51 × 213.62
  4. Step 4: Simplify right side
    258.06x = 75,944.05
  5. Step 5: Solve for x
    x = 75,944.05/258.06
  6. Step 6: Final answer
    x = 294.29

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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.