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Finding the Fourth Proportional to 276.54, 414.67 and 161.02

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Solution

The fourth proportional to 276.54, 414.67 and 161.02 is: 241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.54 : 414.67 = 161.02 : x
  2. Step 2: Convert to fraction form
    276.54/414.67 = 161.02/x
  3. Step 3: Cross multiply
    276.54x = 414.67 × 161.02
  4. Step 4: Simplify right side
    276.54x = 66,770.16
  5. Step 5: Solve for x
    x = 66,770.16/276.54
  6. Step 6: Final answer
    x = 241.45

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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.