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Finding the Fourth Proportional to 271.93, 408.03 and 125.80

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Solution

The fourth proportional to 271.93, 408.03 and 125.80 is: 188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.93 : 408.03 = 125.80 : x
  2. Step 2: Convert to fraction form
    271.93/408.03 = 125.80/x
  3. Step 3: Cross multiply
    271.93x = 408.03 × 125.80
  4. Step 4: Simplify right side
    271.93x = 51,330.17
  5. Step 5: Solve for x
    x = 51,330.17/271.93
  6. Step 6: Final answer
    x = 188.76

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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.