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Finding the Fourth Proportional to 232.00, 348.10 and 110.23

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Solution

The fourth proportional to 232.00, 348.10 and 110.23 is: 165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.00 : 348.10 = 110.23 : x
  2. Step 2: Convert to fraction form
    232.00/348.10 = 110.23/x
  3. Step 3: Cross multiply
    232.00x = 348.10 × 110.23
  4. Step 4: Simplify right side
    232.00x = 38,369.92
  5. Step 5: Solve for x
    x = 38,369.92/232.00
  6. Step 6: Final answer
    x = 165.39

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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.