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Finding the Fourth Proportional to 234.66, 324.09 and 185.40

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Solution

The fourth proportional to 234.66, 324.09 and 185.40 is: 256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.66 : 324.09 = 185.40 : x
  2. Step 2: Convert to fraction form
    234.66/324.09 = 185.40/x
  3. Step 3: Cross multiply
    234.66x = 324.09 × 185.40
  4. Step 4: Simplify right side
    234.66x = 60,086.29
  5. Step 5: Solve for x
    x = 60,086.29/234.66
  6. Step 6: Final answer
    x = 256.06

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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.