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Finding the Fourth Proportional to 232.46, 345.94 and 224.86

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Solution

The fourth proportional to 232.46, 345.94 and 224.86 is: 334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.46 : 345.94 = 224.86 : x
  2. Step 2: Convert to fraction form
    232.46/345.94 = 224.86/x
  3. Step 3: Cross multiply
    232.46x = 345.94 × 224.86
  4. Step 4: Simplify right side
    232.46x = 77,788.07
  5. Step 5: Solve for x
    x = 77,788.07/232.46
  6. Step 6: Final answer
    x = 334.63

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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.