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Finding the Fourth Proportional to 258.26, 389.48 and 238.20

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Solution

The fourth proportional to 258.26, 389.48 and 238.20 is: 359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.26 : 389.48 = 238.20 : x
  2. Step 2: Convert to fraction form
    258.26/389.48 = 238.20/x
  3. Step 3: Cross multiply
    258.26x = 389.48 × 238.20
  4. Step 4: Simplify right side
    258.26x = 92,772.95
  5. Step 5: Solve for x
    x = 92,772.95/258.26
  6. Step 6: Final answer
    x = 359.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.