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Finding the Fourth Proportional to 399.30, 598.34 and 168.06

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Solution

The fourth proportional to 399.30, 598.34 and 168.06 is: 251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.30 : 598.34 = 168.06 : x
  2. Step 2: Convert to fraction form
    399.30/598.34 = 168.06/x
  3. Step 3: Cross multiply
    399.30x = 598.34 × 168.06
  4. Step 4: Simplify right side
    399.30x = 100,555.37
  5. Step 5: Solve for x
    x = 100,555.37/399.30
  6. Step 6: Final answer
    x = 251.83

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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.