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Finding the Fourth Proportional to 256.67, 385.01 and 110.41

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Solution

The fourth proportional to 256.67, 385.01 and 110.41 is: 165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.67 : 385.01 = 110.41 : x
  2. Step 2: Convert to fraction form
    256.67/385.01 = 110.41/x
  3. Step 3: Cross multiply
    256.67x = 385.01 × 110.41
  4. Step 4: Simplify right side
    256.67x = 42,510.33
  5. Step 5: Solve for x
    x = 42,510.33/256.67
  6. Step 6: Final answer
    x = 165.62

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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.