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Finding the Fourth Proportional to 256.28, 384.39 and 110.09

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Solution

The fourth proportional to 256.28, 384.39 and 110.09 is: 165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.28 : 384.39 = 110.09 : x
  2. Step 2: Convert to fraction form
    256.28/384.39 = 110.09/x
  3. Step 3: Cross multiply
    256.28x = 384.39 × 110.09
  4. Step 4: Simplify right side
    256.28x = 42,317.50
  5. Step 5: Solve for x
    x = 42,317.50/256.28
  6. Step 6: Final answer
    x = 165.12

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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.