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Finding the Fourth Proportional to 271.48, 406.45 and 179.99

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Solution

The fourth proportional to 271.48, 406.45 and 179.99 is: 269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.48 : 406.45 = 179.99 : x
  2. Step 2: Convert to fraction form
    271.48/406.45 = 179.99/x
  3. Step 3: Cross multiply
    271.48x = 406.45 × 179.99
  4. Step 4: Simplify right side
    271.48x = 73,157.50
  5. Step 5: Solve for x
    x = 73,157.50/271.48
  6. Step 6: Final answer
    x = 269.48

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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.