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Finding the Fourth Proportional to 234.96, 350.10 and 224.48

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Solution

The fourth proportional to 234.96, 350.10 and 224.48 is: 334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.96 : 350.10 = 224.48 : x
  2. Step 2: Convert to fraction form
    234.96/350.10 = 224.48/x
  3. Step 3: Cross multiply
    234.96x = 350.10 × 224.48
  4. Step 4: Simplify right side
    234.96x = 78,590.45
  5. Step 5: Solve for x
    x = 78,590.45/234.96
  6. Step 6: Final answer
    x = 334.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.