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Finding the Fourth Proportional to 271.38, 406.67 and 242.49

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Solution

The fourth proportional to 271.38, 406.67 and 242.49 is: 363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.38 : 406.67 = 242.49 : x
  2. Step 2: Convert to fraction form
    271.38/406.67 = 242.49/x
  3. Step 3: Cross multiply
    271.38x = 406.67 × 242.49
  4. Step 4: Simplify right side
    271.38x = 98,612.20
  5. Step 5: Solve for x
    x = 98,612.20/271.38
  6. Step 6: Final answer
    x = 363.37

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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.