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Finding the Fourth Proportional to 437.32, 656.09 and 163.42

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Solution

The fourth proportional to 437.32, 656.09 and 163.42 is: 245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.32 : 656.09 = 163.42 : x
  2. Step 2: Convert to fraction form
    437.32/656.09 = 163.42/x
  3. Step 3: Cross multiply
    437.32x = 656.09 × 163.42
  4. Step 4: Simplify right side
    437.32x = 107,218.23
  5. Step 5: Solve for x
    x = 107,218.23/437.32
  6. Step 6: Final answer
    x = 245.17

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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.