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Finding the Fourth Proportional to 256.81, 385.30 and 110.60

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Solution

The fourth proportional to 256.81, 385.30 and 110.60 is: 165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.81 : 385.30 = 110.60 : x
  2. Step 2: Convert to fraction form
    256.81/385.30 = 110.60/x
  3. Step 3: Cross multiply
    256.81x = 385.30 × 110.60
  4. Step 4: Simplify right side
    256.81x = 42,614.18
  5. Step 5: Solve for x
    x = 42,614.18/256.81
  6. Step 6: Final answer
    x = 165.94

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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.