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Finding the Fourth Proportional to 232.56, 346.59 and 224.64

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Solution

The fourth proportional to 232.56, 346.59 and 224.64 is: 334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.56 : 346.59 = 224.64 : x
  2. Step 2: Convert to fraction form
    232.56/346.59 = 224.64/x
  3. Step 3: Cross multiply
    232.56x = 346.59 × 224.64
  4. Step 4: Simplify right side
    232.56x = 77,857.98
  5. Step 5: Solve for x
    x = 77,857.98/232.56
  6. Step 6: Final answer
    x = 334.79

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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.