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Finding the Fourth Proportional to 232.10, 346.80 and 224.03

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Solution

The fourth proportional to 232.10, 346.80 and 224.03 is: 334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.10 : 346.80 = 224.03 : x
  2. Step 2: Convert to fraction form
    232.10/346.80 = 224.03/x
  3. Step 3: Cross multiply
    232.10x = 346.80 × 224.03
  4. Step 4: Simplify right side
    232.10x = 77,694.05
  5. Step 5: Solve for x
    x = 77,694.05/232.10
  6. Step 6: Final answer
    x = 334.74

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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.