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Finding the Fourth Proportional to 411.37, 616.80 and 167.68

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Solution

The fourth proportional to 411.37, 616.80 and 167.68 is: 251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.37 : 616.80 = 167.68 : x
  2. Step 2: Convert to fraction form
    411.37/616.80 = 167.68/x
  3. Step 3: Cross multiply
    411.37x = 616.80 × 167.68
  4. Step 4: Simplify right side
    411.37x = 103,425.02
  5. Step 5: Solve for x
    x = 103,425.02/411.37
  6. Step 6: Final answer
    x = 251.42

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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.