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Finding the Fourth Proportional to 412.10, 617.58 and 168.38

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Solution

The fourth proportional to 412.10, 617.58 and 168.38 is: 252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.10 : 617.58 = 168.38 : x
  2. Step 2: Convert to fraction form
    412.10/617.58 = 168.38/x
  3. Step 3: Cross multiply
    412.10x = 617.58 × 168.38
  4. Step 4: Simplify right side
    412.10x = 103,988.12
  5. Step 5: Solve for x
    x = 103,988.12/412.10
  6. Step 6: Final answer
    x = 252.34

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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.