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Finding the Fourth Proportional to 398.01, 596.82 and 166.83

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Solution

The fourth proportional to 398.01, 596.82 and 166.83 is: 250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.01 : 596.82 = 166.83 : x
  2. Step 2: Convert to fraction form
    398.01/596.82 = 166.83/x
  3. Step 3: Cross multiply
    398.01x = 596.82 × 166.83
  4. Step 4: Simplify right side
    398.01x = 99,567.48
  5. Step 5: Solve for x
    x = 99,567.48/398.01
  6. Step 6: Final answer
    x = 250.16

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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.