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Finding the Fourth Proportional to 234.48, 324.14 and 224.86

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Solution

The fourth proportional to 234.48, 324.14 and 224.86 is: 310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.48 : 324.14 = 224.86 : x
  2. Step 2: Convert to fraction form
    234.48/324.14 = 224.86/x
  3. Step 3: Cross multiply
    234.48x = 324.14 × 224.86
  4. Step 4: Simplify right side
    234.48x = 72,886.12
  5. Step 5: Solve for x
    x = 72,886.12/234.48
  6. Step 6: Final answer
    x = 310.84

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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.