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Finding the Fourth Proportional to 256.24, 384.09 and 109.96

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Solution

The fourth proportional to 256.24, 384.09 and 109.96 is: 164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.24 : 384.09 = 109.96 : x
  2. Step 2: Convert to fraction form
    256.24/384.09 = 109.96/x
  3. Step 3: Cross multiply
    256.24x = 384.09 × 109.96
  4. Step 4: Simplify right side
    256.24x = 42,234.54
  5. Step 5: Solve for x
    x = 42,234.54/256.24
  6. Step 6: Final answer
    x = 164.82

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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.