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Finding the Fourth Proportional to 271.87, 407.82 and 109.54

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Solution

The fourth proportional to 271.87, 407.82 and 109.54 is: 164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.87 : 407.82 = 109.54 : x
  2. Step 2: Convert to fraction form
    271.87/407.82 = 109.54/x
  3. Step 3: Cross multiply
    271.87x = 407.82 × 109.54
  4. Step 4: Simplify right side
    271.87x = 44,670.56
  5. Step 5: Solve for x
    x = 44,670.56/271.87
  6. Step 6: Final answer
    x = 164.31

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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.