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Finding the Fourth Proportional to 257.42, 354.96 and 194.54

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Solution

The fourth proportional to 257.42, 354.96 and 194.54 is: 268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.42 : 354.96 = 194.54 : x
  2. Step 2: Convert to fraction form
    257.42/354.96 = 194.54/x
  3. Step 3: Cross multiply
    257.42x = 354.96 × 194.54
  4. Step 4: Simplify right side
    257.42x = 69,055.96
  5. Step 5: Solve for x
    x = 69,055.96/257.42
  6. Step 6: Final answer
    x = 268.27

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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.