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Finding the Fourth Proportional to 234.75, 323.75 and 151.77

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Solution

The fourth proportional to 234.75, 323.75 and 151.77 is: 209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.75 : 323.75 = 151.77 : x
  2. Step 2: Convert to fraction form
    234.75/323.75 = 151.77/x
  3. Step 3: Cross multiply
    234.75x = 323.75 × 151.77
  4. Step 4: Simplify right side
    234.75x = 49,136.28
  5. Step 5: Solve for x
    x = 49,136.28/234.75
  6. Step 6: Final answer
    x = 209.31

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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.