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Finding the Fourth Proportional to 411.74, 617.14 and 167.98

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Solution

The fourth proportional to 411.74, 617.14 and 167.98 is: 251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.74 : 617.14 = 167.98 : x
  2. Step 2: Convert to fraction form
    411.74/617.14 = 167.98/x
  3. Step 3: Cross multiply
    411.74x = 617.14 × 167.98
  4. Step 4: Simplify right side
    411.74x = 103,667.18
  5. Step 5: Solve for x
    x = 103,667.18/411.74
  6. Step 6: Final answer
    x = 251.78

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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.