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Finding the Fourth Proportional to 234.90, 324.54 and 182.64

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Solution

The fourth proportional to 234.90, 324.54 and 182.64 is: 252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.90 : 324.54 = 182.64 : x
  2. Step 2: Convert to fraction form
    234.90/324.54 = 182.64/x
  3. Step 3: Cross multiply
    234.90x = 324.54 × 182.64
  4. Step 4: Simplify right side
    234.90x = 59,273.99
  5. Step 5: Solve for x
    x = 59,273.99/234.90
  6. Step 6: Final answer
    x = 252.34

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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.