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Finding the Fourth Proportional to 398.02, 596.83 and 166.85

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Solution

The fourth proportional to 398.02, 596.83 and 166.85 is: 250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.02 : 596.83 = 166.85 : x
  2. Step 2: Convert to fraction form
    398.02/596.83 = 166.85/x
  3. Step 3: Cross multiply
    398.02x = 596.83 × 166.85
  4. Step 4: Simplify right side
    398.02x = 99,581.09
  5. Step 5: Solve for x
    x = 99,581.09/398.02
  6. Step 6: Final answer
    x = 250.19

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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.