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Finding the Fourth Proportional to 232.46, 348.73 and 76.24

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Solution

The fourth proportional to 232.46, 348.73 and 76.24 is: 114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.46 : 348.73 = 76.24 : x
  2. Step 2: Convert to fraction form
    232.46/348.73 = 76.24/x
  3. Step 3: Cross multiply
    232.46x = 348.73 × 76.24
  4. Step 4: Simplify right side
    232.46x = 26,586.11
  5. Step 5: Solve for x
    x = 26,586.11/232.46
  6. Step 6: Final answer
    x = 114.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.