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Finding the Fourth Proportional to 276.86, 414.75 and 161.30

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Solution

The fourth proportional to 276.86, 414.75 and 161.30 is: 241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.86 : 414.75 = 161.30 : x
  2. Step 2: Convert to fraction form
    276.86/414.75 = 161.30/x
  3. Step 3: Cross multiply
    276.86x = 414.75 × 161.30
  4. Step 4: Simplify right side
    276.86x = 66,899.18
  5. Step 5: Solve for x
    x = 66,899.18/276.86
  6. Step 6: Final answer
    x = 241.64

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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.