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Finding the Fourth Proportional to 253.50, 382.25 and 205.98

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Solution

The fourth proportional to 253.50, 382.25 and 205.98 is: 310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.50 : 382.25 = 205.98 : x
  2. Step 2: Convert to fraction form
    253.50/382.25 = 205.98/x
  3. Step 3: Cross multiply
    253.50x = 382.25 × 205.98
  4. Step 4: Simplify right side
    253.50x = 78,734.83
  5. Step 5: Solve for x
    x = 78,734.83/253.50
  6. Step 6: Final answer
    x = 310.59

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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.