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Finding the Fourth Proportional to 411.91, 617.66 and 168.50

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Solution

The fourth proportional to 411.91, 617.66 and 168.50 is: 252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.91 : 617.66 = 168.50 : x
  2. Step 2: Convert to fraction form
    411.91/617.66 = 168.50/x
  3. Step 3: Cross multiply
    411.91x = 617.66 × 168.50
  4. Step 4: Simplify right side
    411.91x = 104,074.87
  5. Step 5: Solve for x
    x = 104,074.87/411.91
  6. Step 6: Final answer
    x = 252.67

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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.