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Finding the Fourth Proportional to 256.11, 384.08 and 109.86

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Solution

The fourth proportional to 256.11, 384.08 and 109.86 is: 164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.11 : 384.08 = 109.86 : x
  2. Step 2: Convert to fraction form
    256.11/384.08 = 109.86/x
  3. Step 3: Cross multiply
    256.11x = 384.08 × 109.86
  4. Step 4: Simplify right side
    256.11x = 42,193.11
  5. Step 5: Solve for x
    x = 42,193.11/256.11
  6. Step 6: Final answer
    x = 164.75

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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.