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Finding the Fourth Proportional to 234.41, 352.94 and 173.98

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Solution

The fourth proportional to 234.41, 352.94 and 173.98 is: 261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.41 : 352.94 = 173.98 : x
  2. Step 2: Convert to fraction form
    234.41/352.94 = 173.98/x
  3. Step 3: Cross multiply
    234.41x = 352.94 × 173.98
  4. Step 4: Simplify right side
    234.41x = 61,401.87
  5. Step 5: Solve for x
    x = 61,401.87/234.41
  6. Step 6: Final answer
    x = 261.94

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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.