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Finding the Fourth Proportional to 257.49, 385.80 and 205.86

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Solution

The fourth proportional to 257.49, 385.80 and 205.86 is: 308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.49 : 385.80 = 205.86 : x
  2. Step 2: Convert to fraction form
    257.49/385.80 = 205.86/x
  3. Step 3: Cross multiply
    257.49x = 385.80 × 205.86
  4. Step 4: Simplify right side
    257.49x = 79,420.79
  5. Step 5: Solve for x
    x = 79,420.79/257.49
  6. Step 6: Final answer
    x = 308.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.