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Finding the Fourth Proportional to 234.99, 352.17 and 186.75

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Solution

The fourth proportional to 234.99, 352.17 and 186.75 is: 279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.99 : 352.17 = 186.75 : x
  2. Step 2: Convert to fraction form
    234.99/352.17 = 186.75/x
  3. Step 3: Cross multiply
    234.99x = 352.17 × 186.75
  4. Step 4: Simplify right side
    234.99x = 65,767.75
  5. Step 5: Solve for x
    x = 65,767.75/234.99
  6. Step 6: Final answer
    x = 279.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.