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Finding the Fourth Proportional to 258.85, 356.88 and 203.50

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Solution

The fourth proportional to 258.85, 356.88 and 203.50 is: 280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.85 : 356.88 = 203.50 : x
  2. Step 2: Convert to fraction form
    258.85/356.88 = 203.50/x
  3. Step 3: Cross multiply
    258.85x = 356.88 × 203.50
  4. Step 4: Simplify right side
    258.85x = 72,625.08
  5. Step 5: Solve for x
    x = 72,625.08/258.85
  6. Step 6: Final answer
    x = 280.57

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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.