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Finding the Fourth Proportional to 437.25, 656.05 and 163.42

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Solution

The fourth proportional to 437.25, 656.05 and 163.42 is: 245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.25 : 656.05 = 163.42 : x
  2. Step 2: Convert to fraction form
    437.25/656.05 = 163.42/x
  3. Step 3: Cross multiply
    437.25x = 656.05 × 163.42
  4. Step 4: Simplify right side
    437.25x = 107,209.95
  5. Step 5: Solve for x
    x = 107,209.95/437.25
  6. Step 6: Final answer
    x = 245.19

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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.