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Finding the Fourth Proportional to 234.91, 353.69 and 174.48

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Solution

The fourth proportional to 234.91, 353.69 and 174.48 is: 262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.91 : 353.69 = 174.48 : x
  2. Step 2: Convert to fraction form
    234.91/353.69 = 174.48/x
  3. Step 3: Cross multiply
    234.91x = 353.69 × 174.48
  4. Step 4: Simplify right side
    234.91x = 61,711.83
  5. Step 5: Solve for x
    x = 61,711.83/234.91
  6. Step 6: Final answer
    x = 262.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.