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Finding the Fourth Proportional to 408.17, 611.96 and 164.76

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Solution

The fourth proportional to 408.17, 611.96 and 164.76 is: 247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.17 : 611.96 = 164.76 : x
  2. Step 2: Convert to fraction form
    408.17/611.96 = 164.76/x
  3. Step 3: Cross multiply
    408.17x = 611.96 × 164.76
  4. Step 4: Simplify right side
    408.17x = 100,825.71
  5. Step 5: Solve for x
    x = 100,825.71/408.17
  6. Step 6: Final answer
    x = 247.02

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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.