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Finding the Fourth Proportional to 399.75, 599.86 and 168.63

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Solution

The fourth proportional to 399.75, 599.86 and 168.63 is: 253.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.75 : 599.86 = 168.63 : x
  2. Step 2: Convert to fraction form
    399.75/599.86 = 168.63/x
  3. Step 3: Cross multiply
    399.75x = 599.86 × 168.63
  4. Step 4: Simplify right side
    399.75x = 101,153.97
  5. Step 5: Solve for x
    x = 101,153.97/399.75
  6. Step 6: Final answer
    x = 253.04

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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.