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Finding the Fourth Proportional to 257.33, 354.89 and 191.99

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Solution

The fourth proportional to 257.33, 354.89 and 191.99 is: 264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.33 : 354.89 = 191.99 : x
  2. Step 2: Convert to fraction form
    257.33/354.89 = 191.99/x
  3. Step 3: Cross multiply
    257.33x = 354.89 × 191.99
  4. Step 4: Simplify right side
    257.33x = 68,133.56
  5. Step 5: Solve for x
    x = 68,133.56/257.33
  6. Step 6: Final answer
    x = 264.78

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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.