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Finding the Fourth Proportional to 256.14, 384.20 and 109.89

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Solution

The fourth proportional to 256.14, 384.20 and 109.89 is: 164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.14 : 384.20 = 109.89 : x
  2. Step 2: Convert to fraction form
    256.14/384.20 = 109.89/x
  3. Step 3: Cross multiply
    256.14x = 384.20 × 109.89
  4. Step 4: Simplify right side
    256.14x = 42,219.19
  5. Step 5: Solve for x
    x = 42,219.19/256.14
  6. Step 6: Final answer
    x = 164.83

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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.