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Finding the Fourth Proportional to 234.41, 323.34 and 150.35

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Solution

The fourth proportional to 234.41, 323.34 and 150.35 is: 207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.41 : 323.34 = 150.35 : x
  2. Step 2: Convert to fraction form
    234.41/323.34 = 150.35/x
  3. Step 3: Cross multiply
    234.41x = 323.34 × 150.35
  4. Step 4: Simplify right side
    234.41x = 48,611.99
  5. Step 5: Solve for x
    x = 48,611.99/234.41
  6. Step 6: Final answer
    x = 207.38

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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.