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Finding the Fourth Proportional to 258.32, 356.37 and 169.70

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Solution

The fourth proportional to 258.32, 356.37 and 169.70 is: 234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.32 : 356.37 = 169.70 : x
  2. Step 2: Convert to fraction form
    258.32/356.37 = 169.70/x
  3. Step 3: Cross multiply
    258.32x = 356.37 × 169.70
  4. Step 4: Simplify right side
    258.32x = 60,473.57
  5. Step 5: Solve for x
    x = 60,473.57/258.32
  6. Step 6: Final answer
    x = 234.10

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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.