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Finding the Fourth Proportional to 437.90, 656.73 and 163.97

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Solution

The fourth proportional to 437.90, 656.73 and 163.97 is: 245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.90 : 656.73 = 163.97 : x
  2. Step 2: Convert to fraction form
    437.90/656.73 = 163.97/x
  3. Step 3: Cross multiply
    437.90x = 656.73 × 163.97
  4. Step 4: Simplify right side
    437.90x = 107,684.02
  5. Step 5: Solve for x
    x = 107,684.02/437.90
  6. Step 6: Final answer
    x = 245.91

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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.