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Finding the Fourth Proportional to 398.31, 597.19 and 163.95

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Solution

The fourth proportional to 398.31, 597.19 and 163.95 is: 245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.31 : 597.19 = 163.95 : x
  2. Step 2: Convert to fraction form
    398.31/597.19 = 163.95/x
  3. Step 3: Cross multiply
    398.31x = 597.19 × 163.95
  4. Step 4: Simplify right side
    398.31x = 97,909.30
  5. Step 5: Solve for x
    x = 97,909.30/398.31
  6. Step 6: Final answer
    x = 245.81

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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.