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Finding the Fourth Proportional to 411.42, 617.24 and 167.82

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Solution

The fourth proportional to 411.42, 617.24 and 167.82 is: 251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.42 : 617.24 = 167.82 : x
  2. Step 2: Convert to fraction form
    411.42/617.24 = 167.82/x
  3. Step 3: Cross multiply
    411.42x = 617.24 × 167.82
  4. Step 4: Simplify right side
    411.42x = 103,585.22
  5. Step 5: Solve for x
    x = 103,585.22/411.42
  6. Step 6: Final answer
    x = 251.77

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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.