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Finding the Fourth Proportional to 256.86, 354.37 and 197.86

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Solution

The fourth proportional to 256.86, 354.37 and 197.86 is: 272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.86 : 354.37 = 197.86 : x
  2. Step 2: Convert to fraction form
    256.86/354.37 = 197.86/x
  3. Step 3: Cross multiply
    256.86x = 354.37 × 197.86
  4. Step 4: Simplify right side
    256.86x = 70,115.65
  5. Step 5: Solve for x
    x = 70,115.65/256.86
  6. Step 6: Final answer
    x = 272.97

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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.