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Finding the Fourth Proportional to 256.98, 354.75 and 163.86

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Solution

The fourth proportional to 256.98, 354.75 and 163.86 is: 226.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.98 : 354.75 = 163.86 : x
  2. Step 2: Convert to fraction form
    256.98/354.75 = 163.86/x
  3. Step 3: Cross multiply
    256.98x = 354.75 × 163.86
  4. Step 4: Simplify right side
    256.98x = 58,129.34
  5. Step 5: Solve for x
    x = 58,129.34/256.98
  6. Step 6: Final answer
    x = 226.20

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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.