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Finding the Fourth Proportional to 234.64, 324.30 and 185.44

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Solution

The fourth proportional to 234.64, 324.30 and 185.44 is: 256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.64 : 324.30 = 185.44 : x
  2. Step 2: Convert to fraction form
    234.64/324.30 = 185.44/x
  3. Step 3: Cross multiply
    234.64x = 324.30 × 185.44
  4. Step 4: Simplify right side
    234.64x = 60,138.19
  5. Step 5: Solve for x
    x = 60,138.19/234.64
  6. Step 6: Final answer
    x = 256.30

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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.