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Finding the Fourth Proportional to 256.95, 385.46 and 110.68

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Solution

The fourth proportional to 256.95, 385.46 and 110.68 is: 166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.95 : 385.46 = 110.68 : x
  2. Step 2: Convert to fraction form
    256.95/385.46 = 110.68/x
  3. Step 3: Cross multiply
    256.95x = 385.46 × 110.68
  4. Step 4: Simplify right side
    256.95x = 42,662.15
  5. Step 5: Solve for x
    x = 42,662.15/256.95
  6. Step 6: Final answer
    x = 166.03

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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.