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Finding the Fourth Proportional to 411.46, 617.21 and 167.98

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Solution

The fourth proportional to 411.46, 617.21 and 167.98 is: 251.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.46 : 617.21 = 167.98 : x
  2. Step 2: Convert to fraction form
    411.46/617.21 = 167.98/x
  3. Step 3: Cross multiply
    411.46x = 617.21 × 167.98
  4. Step 4: Simplify right side
    411.46x = 103,678.94
  5. Step 5: Solve for x
    x = 103,678.94/411.46
  6. Step 6: Final answer
    x = 251.98

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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.