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Finding the Fourth Proportional to 398.01, 597.17 and 166.96

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Solution

The fourth proportional to 398.01, 597.17 and 166.96 is: 250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.01 : 597.17 = 166.96 : x
  2. Step 2: Convert to fraction form
    398.01/597.17 = 166.96/x
  3. Step 3: Cross multiply
    398.01x = 597.17 × 166.96
  4. Step 4: Simplify right side
    398.01x = 99,704.67
  5. Step 5: Solve for x
    x = 99,704.67/398.01
  6. Step 6: Final answer
    x = 250.51

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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.