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Finding the Fourth Proportional to 258.03, 356.22 and 170.78

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Solution

The fourth proportional to 258.03, 356.22 and 170.78 is: 235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.03 : 356.22 = 170.78 : x
  2. Step 2: Convert to fraction form
    258.03/356.22 = 170.78/x
  3. Step 3: Cross multiply
    258.03x = 356.22 × 170.78
  4. Step 4: Simplify right side
    258.03x = 60,833.47
  5. Step 5: Solve for x
    x = 60,833.47/258.03
  6. Step 6: Final answer
    x = 235.76

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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.