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Finding the Fourth Proportional to 327.26, 491.00 and 153.92

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Solution

The fourth proportional to 327.26, 491.00 and 153.92 is: 230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.26 : 491.00 = 153.92 : x
  2. Step 2: Convert to fraction form
    327.26/491.00 = 153.92/x
  3. Step 3: Cross multiply
    327.26x = 491.00 × 153.92
  4. Step 4: Simplify right side
    327.26x = 75,575.18
  5. Step 5: Solve for x
    x = 75,575.18/327.26
  6. Step 6: Final answer
    x = 230.93

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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.