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Finding the Fourth Proportional to 438.29, 657.43 and 109.22

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Solution

The fourth proportional to 438.29, 657.43 and 109.22 is: 163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.29 : 657.43 = 109.22 : x
  2. Step 2: Convert to fraction form
    438.29/657.43 = 109.22/x
  3. Step 3: Cross multiply
    438.29x = 657.43 × 109.22
  4. Step 4: Simplify right side
    438.29x = 71,805.88
  5. Step 5: Solve for x
    x = 71,805.88/438.29
  6. Step 6: Final answer
    x = 163.83

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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.