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Finding the Fourth Proportional to 437.45, 656.09 and 163.54

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Solution

The fourth proportional to 437.45, 656.09 and 163.54 is: 245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.45 : 656.09 = 163.54 : x
  2. Step 2: Convert to fraction form
    437.45/656.09 = 163.54/x
  3. Step 3: Cross multiply
    437.45x = 656.09 × 163.54
  4. Step 4: Simplify right side
    437.45x = 107,294.50
  5. Step 5: Solve for x
    x = 107,294.50/437.45
  6. Step 6: Final answer
    x = 245.27

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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.