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Finding the Fourth Proportional to 211.94, 317.43 and 109.04

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Solution

The fourth proportional to 211.94, 317.43 and 109.04 is: 163.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.94 : 317.43 = 109.04 : x
  2. Step 2: Convert to fraction form
    211.94/317.43 = 109.04/x
  3. Step 3: Cross multiply
    211.94x = 317.43 × 109.04
  4. Step 4: Simplify right side
    211.94x = 34,610.98
  5. Step 5: Solve for x
    x = 34,610.98/211.94
  6. Step 6: Final answer
    x = 163.31

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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.