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Finding the Fourth Proportional to 327.50, 491.38 and 173.42

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Solution

The fourth proportional to 327.50, 491.38 and 173.42 is: 260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.50 : 491.38 = 173.42 : x
  2. Step 2: Convert to fraction form
    327.50/491.38 = 173.42/x
  3. Step 3: Cross multiply
    327.50x = 491.38 × 173.42
  4. Step 4: Simplify right side
    327.50x = 85,215.12
  5. Step 5: Solve for x
    x = 85,215.12/327.50
  6. Step 6: Final answer
    x = 260.20

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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.