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Finding the Fourth Proportional to 356.09, 533.73 and 163.31

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Solution

The fourth proportional to 356.09, 533.73 and 163.31 is: 244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.09 : 533.73 = 163.31 : x
  2. Step 2: Convert to fraction form
    356.09/533.73 = 163.31/x
  3. Step 3: Cross multiply
    356.09x = 533.73 × 163.31
  4. Step 4: Simplify right side
    356.09x = 87,164.78
  5. Step 5: Solve for x
    x = 87,164.78/356.09
  6. Step 6: Final answer
    x = 244.78

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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.