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Finding the Fourth Proportional to 256.14, 384.30 and 109.82

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Solution

The fourth proportional to 256.14, 384.30 and 109.82 is: 164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.14 : 384.30 = 109.82 : x
  2. Step 2: Convert to fraction form
    256.14/384.30 = 109.82/x
  3. Step 3: Cross multiply
    256.14x = 384.30 × 109.82
  4. Step 4: Simplify right side
    256.14x = 42,203.83
  5. Step 5: Solve for x
    x = 42,203.83/256.14
  6. Step 6: Final answer
    x = 164.77

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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.