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Finding the Fourth Proportional to 234.71, 323.85 and 146.22

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Solution

The fourth proportional to 234.71, 323.85 and 146.22 is: 201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.71 : 323.85 = 146.22 : x
  2. Step 2: Convert to fraction form
    234.71/323.85 = 146.22/x
  3. Step 3: Cross multiply
    234.71x = 323.85 × 146.22
  4. Step 4: Simplify right side
    234.71x = 47,353.35
  5. Step 5: Solve for x
    x = 47,353.35/234.71
  6. Step 6: Final answer
    x = 201.75

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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.