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Finding the Fourth Proportional to 258.26, 356.56 and 230.58

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Solution

The fourth proportional to 258.26, 356.56 and 230.58 is: 318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.26 : 356.56 = 230.58 : x
  2. Step 2: Convert to fraction form
    258.26/356.56 = 230.58/x
  3. Step 3: Cross multiply
    258.26x = 356.56 × 230.58
  4. Step 4: Simplify right side
    258.26x = 82,215.60
  5. Step 5: Solve for x
    x = 82,215.60/258.26
  6. Step 6: Final answer
    x = 318.34

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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.