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Finding the Fourth Proportional to 234.25, 323.29 and 146.91

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Solution

The fourth proportional to 234.25, 323.29 and 146.91 is: 202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.25 : 323.29 = 146.91 : x
  2. Step 2: Convert to fraction form
    234.25/323.29 = 146.91/x
  3. Step 3: Cross multiply
    234.25x = 323.29 × 146.91
  4. Step 4: Simplify right side
    234.25x = 47,494.53
  5. Step 5: Solve for x
    x = 47,494.53/234.25
  6. Step 6: Final answer
    x = 202.75

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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.