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Finding the Fourth Proportional to 271.94, 406.18 and 233.24

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Solution

The fourth proportional to 271.94, 406.18 and 233.24 is: 348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.94 : 406.18 = 233.24 : x
  2. Step 2: Convert to fraction form
    271.94/406.18 = 233.24/x
  3. Step 3: Cross multiply
    271.94x = 406.18 × 233.24
  4. Step 4: Simplify right side
    271.94x = 94,737.42
  5. Step 5: Solve for x
    x = 94,737.42/271.94
  6. Step 6: Final answer
    x = 348.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.