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Finding the Fourth Proportional to 211.98, 317.48 and 109.02

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Solution

The fourth proportional to 211.98, 317.48 and 109.02 is: 163.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.98 : 317.48 = 109.02 : x
  2. Step 2: Convert to fraction form
    211.98/317.48 = 109.02/x
  3. Step 3: Cross multiply
    211.98x = 317.48 × 109.02
  4. Step 4: Simplify right side
    211.98x = 34,611.67
  5. Step 5: Solve for x
    x = 34,611.67/211.98
  6. Step 6: Final answer
    x = 163.28

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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.