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Finding the Fourth Proportional to 234.26, 323.32 and 146.88

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Solution

The fourth proportional to 234.26, 323.32 and 146.88 is: 202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.26 : 323.32 = 146.88 : x
  2. Step 2: Convert to fraction form
    234.26/323.32 = 146.88/x
  3. Step 3: Cross multiply
    234.26x = 323.32 × 146.88
  4. Step 4: Simplify right side
    234.26x = 47,489.24
  5. Step 5: Solve for x
    x = 47,489.24/234.26
  6. Step 6: Final answer
    x = 202.72

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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.