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Finding the Fourth Proportional to 271.14, 373.26 and 234.09

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Solution

The fourth proportional to 271.14, 373.26 and 234.09 is: 322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.14 : 373.26 = 234.09 : x
  2. Step 2: Convert to fraction form
    271.14/373.26 = 234.09/x
  3. Step 3: Cross multiply
    271.14x = 373.26 × 234.09
  4. Step 4: Simplify right side
    271.14x = 87,376.43
  5. Step 5: Solve for x
    x = 87,376.43/271.14
  6. Step 6: Final answer
    x = 322.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.