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Finding the Fourth Proportional to 232.24, 320.34 and 224.32

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Solution

The fourth proportional to 232.24, 320.34 and 224.32 is: 309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.24 : 320.34 = 224.32 : x
  2. Step 2: Convert to fraction form
    232.24/320.34 = 224.32/x
  3. Step 3: Cross multiply
    232.24x = 320.34 × 224.32
  4. Step 4: Simplify right side
    232.24x = 71,858.67
  5. Step 5: Solve for x
    x = 71,858.67/232.24
  6. Step 6: Final answer
    x = 309.42

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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.