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Finding the Fourth Proportional to 398.09, 596.89 and 163.75

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Solution

The fourth proportional to 398.09, 596.89 and 163.75 is: 245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.09 : 596.89 = 163.75 : x
  2. Step 2: Convert to fraction form
    398.09/596.89 = 163.75/x
  3. Step 3: Cross multiply
    398.09x = 596.89 × 163.75
  4. Step 4: Simplify right side
    398.09x = 97,741.69
  5. Step 5: Solve for x
    x = 97,741.69/398.09
  6. Step 6: Final answer
    x = 245.53

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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.