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Finding the Fourth Proportional to 258.80, 357.34 and 203.44

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Solution

The fourth proportional to 258.80, 357.34 and 203.44 is: 280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.80 : 357.34 = 203.44 : x
  2. Step 2: Convert to fraction form
    258.80/357.34 = 203.44/x
  3. Step 3: Cross multiply
    258.80x = 357.34 × 203.44
  4. Step 4: Simplify right side
    258.80x = 72,697.25
  5. Step 5: Solve for x
    x = 72,697.25/258.80
  6. Step 6: Final answer
    x = 280.90

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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.