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Finding the Fourth Proportional to 271.99, 407.92 and 107.40

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Solution

The fourth proportional to 271.99, 407.92 and 107.40 is: 161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.99 : 407.92 = 107.40 : x
  2. Step 2: Convert to fraction form
    271.99/407.92 = 107.40/x
  3. Step 3: Cross multiply
    271.99x = 407.92 × 107.40
  4. Step 4: Simplify right side
    271.99x = 43,810.61
  5. Step 5: Solve for x
    x = 43,810.61/271.99
  6. Step 6: Final answer
    x = 161.07

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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.