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Finding the Fourth Proportional to 258.72, 354.36 and 249.48

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Solution

The fourth proportional to 258.72, 354.36 and 249.48 is: 341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.72 : 354.36 = 249.48 : x
  2. Step 2: Convert to fraction form
    258.72/354.36 = 249.48/x
  3. Step 3: Cross multiply
    258.72x = 354.36 × 249.48
  4. Step 4: Simplify right side
    258.72x = 88,405.73
  5. Step 5: Solve for x
    x = 88,405.73/258.72
  6. Step 6: Final answer
    x = 341.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.