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Finding the Fourth Proportional to 271.98, 407.61 and 109.44

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Solution

The fourth proportional to 271.98, 407.61 and 109.44 is: 164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.98 : 407.61 = 109.44 : x
  2. Step 2: Convert to fraction form
    271.98/407.61 = 109.44/x
  3. Step 3: Cross multiply
    271.98x = 407.61 × 109.44
  4. Step 4: Simplify right side
    271.98x = 44,608.84
  5. Step 5: Solve for x
    x = 44,608.84/271.98
  6. Step 6: Final answer
    x = 164.02

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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.